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Ken Shirriff's blog: February 2009
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class='header section' id='header'><div class='widget Header' data-version='1' id='Header1'> <div id='header-inner' style='background-image: url("https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-4KXwYe0lQ4HFzhAye9vvRlij2ZYvMbfPCnqEE__1o85Fjo3XgefxJQhWRdwR3EzNWNMWT3yMaj2QZaT9GazqQx3C6oWa3-hBNlRHG7f-Oib-lv1Wq_C2_A0rt8xZgs87iNqzRVKK7H0A/s800/background.jpg"); background-position: left; width: 550px; min-height: 105px; _height: 105px; background-repeat: no-repeat; '> <div class='titlewrapper' style='background: transparent'> <h1 class='title' style='background: transparent; border-width: 0px'> <a href='http://www.righto.com/'> Ken Shirriff's blog </a> </h1> </div> <div class='descriptionwrapper'> <p class='description'><span>Computer history, restoring vintage computers, IC reverse engineering, and whatever</span></p> </div> </div> </div></div> </div> </div> <div class='header-cap-bottom cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> 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class='column-center-outer'> <div class='column-center-inner'> <div class='main section' id='main'><div class='widget Blog' data-version='1' id='Blog1'> <div class='blog-posts hfeed'> <div class="date-outer"> <div class="date-posts"> <div class='post-outer'> <div class='post hentry' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='4122857197587215968' itemprop='postId'/> <a name='4122857197587215968'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2009/02/readline-support-for-arc.html'>Readline support for Arc</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-4122857197587215968' itemprop='description articleBody'> When using the Arc REPL, I've often wanted to edit a previous line. Python lets you access and edit lines using the arrow keys, so why not Arc? You can do this with Arc by using <code>rlwrap</code> and the <a href="http://tiswww.case.edu/php/chet/readline/rltop.html">GNU Readline</a> library. (Not to be confused with Arc's <a href="http://www.righto.com/doc/io.html#readline">readline</a> I/O operation.) <p> Readline provides many editing operations. If you're not an Emacs user, you'll probably want to use the arrow keys to move through your current line and history, Home and End to move to the beginning and end of the line, and Delete or Backspace to delete characters. Another useful feature is Control-underscore will undo an edit. If you enter a closing parenthesis, Readline will flash the corresponding opening parenthesis, which is helpful when entering Arc code. Control-R followed by text will search your history for a line containing that text. Readline supports the standard Emacs keybindings. For instance, Control-B and Control-F to move backwards and forward, Meta-B and Meta-F to move by words, Control-K kills (erases) to the end of the line, Control-Y yanks killed text back into the line, and so on. See <a href=" http://tiswww.case.edu/php/chet/readline/rluserman.html">the documentation</a> for the full documentation. <h3>Installing rlwrap</h3> But how do you use readline with Arc? There has been <a href="http://arclanguage.org/item?id=10">discussion</a> at arclanguage.org, but there are complications. Mzscheme added support for readline in version 360, but Arc inconveniently runs on version 352. Backporting readline to 352 doesn't work cleanly. <p> The easiest way is to install the <code>rlwrap</code> command, which wraps an arbitrary command in readline. To install it on Linux, run <code>sudo yum install rlwrap</code> or <code>sudo apt-get install rlwrap</code> as appropriate. <p> For Windows, rlwrap is part of <a href="http://cygwin.com/">cygwin</a>, although you need to explicitly select in the installer under "Select Packages to Install"; it's under "Utils -> rlwrap". <p> Once installed, add <code>rlwrap</code> in front of your <code>mzscheme</code> command. For instance: <pre class="code"> rlwrap mzscheme -m -f as.scm </pre> More ways of running rlwrap with Arc are described in the arclanguage.org <a href="http://arclanguage.org/item?id=10">discussion</a>. <p> Once you have <code>rlwrap</code> installed, you should find entering Arc code to be much easier. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'><span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/6264947694886887540/4122857197587215968' onclick=''> No comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/6264947694886887540/4122857197587215968' title='Email Post'> <img alt='' class='icon-action' height='13' src='http://img1.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-1138732533'> <a href='https://www.blogger.com/post-edit.g?blogID=6264947694886887540&postID=4122857197587215968&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <span class='post-backlinks post-comment-link'> </span> <div class='post-share-buttons goog-inline-block'> <a class='goog-inline-block share-button sb-email' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=4122857197587215968&target=email' target='_blank' title='Email This'><span class='share-button-link-text'>Email This</span></a><a class='goog-inline-block share-button sb-blog' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=4122857197587215968&target=blog' onclick='window.open(this.href, "_blank", "height=270,width=475"); return false;' target='_blank' title='BlogThis!'><span class='share-button-link-text'>BlogThis!</span></a><a class='goog-inline-block share-button sb-twitter' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=4122857197587215968&target=twitter' target='_blank' title='Share to X'><span class='share-button-link-text'>Share to X</span></a><a class='goog-inline-block share-button sb-facebook' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=4122857197587215968&target=facebook' onclick='window.open(this.href, "_blank", "height=430,width=640"); return false;' target='_blank' title='Share to Facebook'><span class='share-button-link-text'>Share to Facebook</span></a><a class='goog-inline-block share-button sb-pinterest' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=4122857197587215968&target=pinterest' target='_blank' title='Share to Pinterest'><span class='share-button-link-text'>Share to Pinterest</span></a> </div> </div> <div class='post-footer-line post-footer-line-2'><span class='post-labels'> Labels: <a href='http://www.righto.com/search/label/arc' rel='tag'>arc</a> </span> </div> <div class='post-footer-line post-footer-line-3'></div> </div> </div> </div> </div></div> <div class="date-outer"> <div class="date-posts"> <div class='post-outer'> <div class='post hentry' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='http://www.assoc-amazon.com/e/ir?t=rightocom&l=as2&o=1&a=0471117099' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='5171636657317761832' itemprop='postId'/> <a name='5171636657317761832'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2009/02/simple-cryptanalysis-with-arc.html'>Simple Cryptanalysis with Arc</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-5171636657317761832' itemprop='description articleBody'> <iframe src="http://rcm.amazon.com/e/cm?t=rightocom&o=1&p=8&l=as1&asins=0471117099&fc1=000000&IS2=1&lt1=_blank&lc1=0000FF&bc1=000000&bg1=FFFFFF&f=ifr&npa=1" style="width: 120px; height: 240px; float: right;" marginwidth="0" marginheight="0" frameborder="0" scrolling="no"></iframe> I came across a thread on reddit about <a href="http://www.reddit.com/r/programming/comments/7wl08/writing_your_own_encryption_algorithm_duh/">why you shouldn't write your own encryption algorithm</a>. In it, one person presented a <a href="http://www.reddit.com/r/programming/comments/7wl08/writing_your_own_encryption_algorithm_duh/c07ls7f">homegrown algorithm</a> with a <a href="http://www.reddit.com/r/programming/comments/7wl08/writing_your_own_encryption_algorithm_duh/c07ly6i">challenge</a> to break it. The algorithm turned out to be the weak <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">Vigen猫re cipher</a>, so I thought it would be interesting to break it with Arc. <p> In a Caesar cipher, each character in the plaintext is shifted by a fixed amount. For instance, if the shift is 3, "a" becomes "d", "b" becomes "e", and so on. In the Vigen猫re cipher, multiple shifts are used. For instance, if the key is (2, 4, 9), the first character is shifted by 2, the second character is shifted by 4, the third character is shifted by 9. The pattern then repeats with shifts of 2, 4, 9, 2, 4, 9, and so on until the entire plaintext is encrypted. Note that the length of the key is arbitrary. <p> The encrypted string of the reddit cipher can be expressed in Arc as: <pre class="code"> (= s "t/GlC/,@RiG.^(xBQ2.MslF27@w#xXw,KHx,/9xiU-(!\"ixf%\";iA-=@wiW-=6EnRX#,stL-\"6Mqy!6:HDf#,6LDA0,)LoS9@:slPY9!xmx!?/LiM,,MsjL16@xCx.,6zrT26:HDx-$,svM/,6MnQ!P6sXz#/%NBJ^6jsly,6#ttCX/+sjx9/+MuCX8/MiFY(.xAx$/+AxS!69AjL4/$ziR5,6tuE-(/MqKC") </pre> The first thing we can do is determine how long the key is. Since the key repeats, it is likely that characters in the ciphertext will also repeat with the same frequency. We can apply a simple autocorrelation function: <pre class="code"> (def autocorrelate (s offset) (let total 0 (for i 0 (- (len s) offset 1) (if (is (s i) (s (+ i offset))) (++ total))) total)) </pre> This function will compare each character with the character <i>offset</i> later in the string, and count the number of matches. Let's find the best value for <i>offset</i>: <pre class="code"> (for i 1 20 (prn i " " (autocorrelate s i))) 1 2 2 3 3 1 4 6 5 6 6 16 7 6 8 3 9 0 10 1 11 3 12 16 13 7 14 5 15 0 16 3 17 5 18 17 19 1 20 3 </pre> Note that comparing each character with the character 6 characters later has 16 matches, which is much better than the other offsets. So it's pretty likely that the key is length 6. (There are also spikes at multiples of 6, as you'd expect.) <p> Now let's make a function to decode an encrypted character given an offset. We need the algorithm's character set mapping <i>m</i> used to shift the characters. The typical Vigen猫re uses a character set of 26 letters, but the challenge algorithm uses a much larger character set. To decode a character, we look it up in the mapping to get an integer index, shift by the offset, and convert back to a character. <pre class="code"> (= m " abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789.,-\'?/\\!@#$%^*()+=~\";:") (def decodechar (ch offset) (m (mod (- (pos ch m) offset) (- (len m) 1)))) </pre> For example, if our characters were shifted by 3, "D" should decode as "A": <pre class="code"> (decodechar #\D 3) #\A </pre> <iframe src="http://rcm.amazon.com/e/cm?t=rightocom&o=1&p=8&l=as1&asins=0486247619&fc1=000000&IS2=1<1=_blank&m=amazon&lc1=0000FF&bc1=000000&bg1=FFFFFF&f=ifr&npa=1" style="width:120px;height:240px;float:right;" scrolling="no" marginwidth="0" marginheight="0" frameborder="0"></iframe> At this point, there are multiple approaches to break the cipher. If you have any known plaintext, you can immediately get the key. Without a known plaintext, you can take an expected plaintext such as " the " and drag it through the ciphertext, generating a presumtive key at each point. If the same pattern pops out in several places, you may have the key. <p> Alternatively, if we take every 6th character in the ciphertext, we have 6 Caesar cipers, and we can break each one separately. Breaking a Caesar cipher is easy. One approach is frequency analysis; assuming there are more e's and t's than q's and z's in the plaintext, you can compute the likelihood of each key. Log-likelihood is a typical way, but Arc doesn't have a log function, annoyingly enough. <p> I decided to take a more brute force approach. I made a function that prints out the decoding of one of the Caesar substrings given an offset value. <pre class="code"> (def decodesubstring (s startpos skip offset) (loop (= i startpos) (< i (len s)) (= i (+ i skip)) (pr (decodechar (s i) offset))) (prn)) </pre> For instance, to take every sixth character, starting with the second, and shift it by 35: <pre class="code"> (decodesubstring s 2 6 35) "i$/#b$UV#=/d;cc/$c/$^;/d/e/\/dd$**^\d </pre> That deciphering doesn't look too good if we're looking for English text. Either our plaintext is a Perl program or 35 is the wrong offset. Let's brute-force try all the offsets: <pre class="code"> (def testall (s startpos skip) (for i 0 (len m) (pr i " ") (decodesubstring s startpos skip i))) (testall s 2 6) 0 GRxswKx";wEsMHLLsxLsxzHsMsNstsMMxAAztM 1 FQwrvJw~"vDrLGKKrwKrwyGrLrMrsrLLwzzysL 2 EPvquIv=~uCqKFJJqvJqvxFqKqLqrqKKvyyxrK 3 DOuptHu+=tBpJEIIpuIpuwEpJpKpqpJJuxxwqJ 4 CNtosGt)+sAoIDHHotHotvDoIoJopoIItwwvpI 5 BMsnrFs()rznHCGGnsGnsuCnHnInonHHsvvuoH 6 ALrmqEr*(qymGBFFmrFmrtBmGmHmnmGGruutnG 7 zKqlpDq^*pxlFAEElqElqsAlFlGlmlFFqttsmF 8 yJpkoCp%^owkEzDDkpDkprzkEkFklkEEpssrlE 9 xIojnBo$%nvjDyCCjoCjoqyjDjEjkjDDorrqkD 10 wHnimAn#$muiCxBBinBinpxiCiDijiCCnqqpjC 11 vGmhlzm@#lthBwAAhmAhmowhBhChihBBmppoiB 12 uFlgkyl!@ksgAvzzglzglnvgAgBghgAAloonhA 13 tEkfjxk\!jrfzuyyfkyfkmufzfAfgfzzknnmgz 14 sDjeiwj/\iqeytxxejxejlteyezefeyyjmmlfy 15 rCidhvi?/hpdxswwdiwdiksdxdydedxxillkex 16 qBhcguh'?gocwrvvchvchjrcwcxcdcwwhkkjdw 17 pAgbftg-'fnbvquubgubgiqbvbwbcbvvgjjicv 18 ozfaesf,-emaupttaftafhpauavabauufiihbu 19 nye dre.,dl toss es ego t u a ttehhgat 20 mxd;cqd9.ck;snrr;dr;dfn;s;t; ;ssdggf s 21 lwc"bpc89bj"rmqq"cq"cem"r"s";"rrcffe;r 22 kvb~aob78ai~qlpp~bp~bdl~q~r~"~qqbeed"q 23 jua= na67 h=pkoo=ao=ack=p=q=~=ppaddc~p 24 it +;m 56;g+ojnn+ n+ bj+o+p+=+oo ccb=o 25 hs;)"l;45"f)nimm);m);ai)n)o)+)nn;bba+n 26 gr"(~k"34~e(mhll("l(" h(m(n()(mm"aa )m 27 fq~*=j~23=d*lgkk*~k*~;g*l*m*(*ll~ ;(l 28 ep=^+i=12+c^kfjj^=j^="f^k^l^*^kk=;;"*k 29 do+%)h+01)b%jeii%+i%+~e%j%k%^%jj+""~^j 30 cn)$(g)Z0(a$idhh$)h$)=d$i$j$%$ii)~~=%i 31 bm(#*f(YZ* #hcgg#(g#(+c#h#i#$#hh(==+$h 32 al*@^e*XY^;@gbff@*f@*)b@g@h@#@gg*++)#g 33 k^!%d^WX%"!faee!^e!^(a!f!g!@!ff^))(@f 34 ;j%\$c%VW$~\e dd\%d\%* \e\f\!\ee%((*!e 35 "i$/#b$UV#=/d;cc/$c/$^;/d/e/\/dd$**^\d 36 ~h#?@a#TU@+?c"bb?#b?#%"?c?d?/?cc#^^%/c 37 =g@'! @ST!)'b~aa'@a'@$~'b'c'?'bb@%%$?b 38 +f!-\;!RS\(-a= -! -!#=-a-b-'-aa!$$#'a 39 )e\,/"\QR/*, +;;,\;,\@+, ,a,-, \##@- 40 (d/.?~/PQ?^.;)""./"./!).;. .,.;;/@@!,; 41 *c?9'=?OP'%9"(~~9?~9?\(9"9;9.9""?!!\." 42 ^b'8-+'NO-$8~*==8'=8'/*8~8"898~~'\\/9~ 43 %a-7,)-MN,#7=^++7-+7-?^7=7~787==-//?8= 44 $ ,6.(,LM.@6+%))6,)6,'%6+6=676++,??'7+ 45 #;.59*.KL9!5)$((5.(5.-$5)5+565)).''-6) 46 @"948^9JK8\4(#**49*49,#4(4)454((9--,5( 47 !~837%8IJ7/3*@^^38^38.@3*3(343**8,,.4* 48 \=726$7HI6?2^!%%27%279!2^2*232^^7..93^ 49 /+615#6GH5'1%\$$16$168\1%1^121%%69982% 50 ?)504@5FG4-0$/##05#057/0$0%010$$58871$ 51 '(4Z3!4EF3,Z#?@@Z4@Z46?Z#Z$Z0Z##47760# 52 -*3Y2\3DE2.Y@'!!Y3!Y35'Y@Y#YZY@@3665Z@ 53 ,^2X1/2CD19X!-\\X2\X24-X!X@XYX!!2554Y! 54 .%1W0?1BC08W\,//W1/W13,W\W!WXW\\1443X\ 55 9$0VZ'0ABZ7V/.??V0?V02.V/V\VWV//0332W/ 56 8#ZUY-ZzAY6U?9''UZ'UZ19U?U/UVU??Z221V? 57 7@YTX,YyzX5T'8--TY-TY08T'T?TUT''Y110U' 58 6!XSW.XxyW4S-7,,SX,SXZ7S-S'STS--X00ZT- 59 5\WRV9WwxV3R,6..RW.RWY6R,R-RSR,,WZZYS, 60 4/VQU8VvwU2Q.599QV9QVX5Q.Q,QRQ..VYYXR. 61 3?UPT7UuvT1P9488PU8PUW4P9P.PQP99UXXWQ9 62 2'TOS6TtuS0O8377OT7OTV3O8O9OPO88TWWVP8 63 1-SNR5SstRZN7266NS6NSU2N7N8NON77SVVUO7 64 0,RMQ4RrsQYM6155MR5MRT1M6M7MNM66RUUTN6 65 Z.QLP3QqrPXL5044LQ4LQS0L5L6LML55QTTSM5 66 Y9PKO2PpqOWK4Z33KP3KPRZK4K5KLK44PSSRL4 67 X8OJN1OopNVJ3Y22JO2JOQYJ3J4JKJ33ORRQK3 68 W7NIM0NnoMUI2X11IN1INPXI2I3IJI22NQQPJ2 69 V6MHLZMmnLTH1W00HM0HMOWH1H2HIH11MPPOI1 70 U5LGKYLlmKSG0VZZGLZGLNVG0G1GHG00LOONH0 71 T4KFJXKklJRFZUYYFKYFKMUFZF0FGFZZKNNMGZ 72 S3JEIWJjkIQEYTXXEJXEJLTEYEZEFEYYJMMLFY 73 R2IDHVIijHPDXSWWDIWDIKSDXDYDEDXXILLKEX 74 Q1HCGUHhiGOCWRVVCHVCHJRCWCXCDCWWHKKJDW 75 P0GBFTGghFNBVQUUBGUBGIQBVBWBCBVVGJJICV 76 OZFAESFfgEMAUPTTAFTAFHPAUAVABAUUFIIHBU 77 NYEzDREefDLzTOSSzESzEGOzTzUzAzTTEHHGAT 78 MXDyCQDdeCKySNRRyDRyDFNySyTyzySSDGGFzS 79 LWCxBPCcdBJxRMQQxCQxCEMxRxSxyxRRCFFEyR 80 KVBwAOBbcAIwQLPPwBPwBDLwQwRwxwQQBEEDxQ 81 JUAvzNAabzHvPKOOvAOvACKvPvQvwvPPADDCwP 82 ITzuyMz ayGuOJNNuzNuzBJuOuPuvuOOzCCBvO 83 HSytxLy; xFtNIMMtyMtyAItNtOtutNNyBBAuN 84 GRxswKx";wEsMHLLsxLsxzHsMsNstsMMxAAztM 85 FQwrvJw~"vDrLGKKrwKrwyGrLrMrsrLLwzzysL </pre> Looking this over, it's pretty obvious that offset 19 yields normal English letters, punctuation, and spacing, and everything else doesn't. (Of course, since we're only looking at every sixth letter, the result isn't readable.) We can repeat this for the other positions in the string <pre class="code"> (testall s 0 6) ... 59 SepdaVirouumw eelche e ne?i iibri ier ... (testall s 1 6) ... 59 ilr,leckwl e y syki,l ye oImttidtcn i ... </pre> By scanning the six sets of outputs, the obvious key set is (59 59 19 9 24 50). Now we can write a simple function to decrypt the entire string from a list of offsets: <pre class="code"> (def decode (s offsets) (for i 0 (- (len s) 1) (pr (decodechar (s i) (offsets (mod i (len offsets)))))) (prn)) (decode s '(59 59 19 9 24 50)) Sincerely impressed, cheald. Very nice work. Now, could you let me know that you've successfully cracked this one, and let me give you one more test? Obviously I can make it a little bit harder without changing the algorithm. </pre> The original algorithm uses a string for the key, not integers, so we can map the offsets back to a string key: <pre class="code"> (each x '(59 59 19 9 24 50) (pr (m x))) 66sixXnil </pre> Ignoring <i>nil</i>, the key is "66sixX". Thus, a few minutes with Arc is sufficient to break the cipher and determine the original key. <p> The reddit thread includes multiple other challenges. One is: <pre class="code"> (= s2 "sBC^myM3f5MC6nBF~d?OM*mqt5y@wB3Bvt'm6vy%vIB3x9RNJmJB@y,Bt6rHN4m@FS3nrF8d(It5rpL8e8:t^BpN,e(tw,AuO?m^wB8ApG4C4Ny^GpI(x4NB-Fpy!g^SJ*vEH3q9NB@q+t3M.tB8mIO6g9yx^mpQ8p\\tx@Auf3dhtM-Asy%i\\St6BDA%e(OF4Gut,m!;t3Vvt,i4xI8FpH@x4t23nIE3x-uN3nJt/i5MN3uut!s(tw@AJC!y9tN@mCu?i4zO!mEz3x-CM3pyJ,i^tQ,vsB3m*tM@muu^C4ut1$pS8e^tI/qnt6s)Fx3pHu6o4CNJmEL3b'Nt6nDt5i4wL4pAy7d6St,nDx1d5ww@EtC!k4NI3BJB8v*;t3YuN3q9tL8Cuu*d#Hw8mCI%i4t23xDI+d'NtaN3t5i4wL4pAy7/4vO*mYt5i(t6m59t#i#JF8miL8h8CN3vIt!s(tr\\BIN3t9IJ/rnn3A#Hb*mtI3m(;") </pre> The same technique finds the key length is 9, the offsets are (57 20 20 56 13 16 20 56 4), and the plaintext and key are: <pre class="code"> (decode s2 '(57 20 20 56 13 16 20 56 4)) This is basically just a bunch of jibberish text, though certainly able to be read, so that chneukirchen may test out this encryption method. If he succeeds well done! I sincerely congratulate him. If he does not I ask that at least he not continue to make fun of this cipher which is so easy a "7 year old" could crack it, or "it can be cracked by hand" according to others. Let me repeat once more I know it CAN be cracked, but I bet MOST people (reddit is not "most people") won't do it. (each x '(57 20 20 56 13 16 20 56 4) (pr (m x))) 4tt3mpt3dnil </pre> This shows how Arc can be used as a tool in simple cryptanalysis, and also shows that homegrown cryptography can be very weak. If you're interested in cryptography, I highly recommend that you read <a href="https://www.amazon.com/gp/product/0471117099?ie=UTF8&tag=rightocom&linkCode=as2&camp=1789&creative=9325&creativeASIN=0471117099">Applied Cryptography</a><img alt="" border="0" height="1" src="http://www.assoc-amazon.com/e/ir?t=rightocom&l=as2&o=1&a=0471117099" style="border:none !important; margin:0px !important;" width="1" />. 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class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/03/'> March </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/02/'> February </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/01/'> January </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a 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collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/04/'> April </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/02/'> February </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/01/'> January </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/'> 2021 </a> <span class='post-count' dir='ltr'>(26)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/12/'> December </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/09/'> September </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/06/'> June </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/03/'> March </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/'> 2020 </a> <span class='post-count' dir='ltr'>(33)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/11/'> November </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/10/'> October </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/08/'> August </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/06/'> June </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/05/'> May </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/03/'> March </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/01/'> January </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/'> 2019 </a> <span class='post-count' dir='ltr'>(18)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/11/'> November </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/10/'> October </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/09/'> September </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/07/'> July </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/01/'> January </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/'> 2018 </a> <span class='post-count' dir='ltr'>(17)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/12/'> December </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/03/'> March </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/01/'> January </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/'> 2017 </a> <span class='post-count' dir='ltr'>(21)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/12/'> December </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/10/'> October </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/06/'> June </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/01/'> January </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/'> 2016 </a> <span class='post-count' dir='ltr'>(34)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/10/'> October </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/09/'> September </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/08/'> August </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/07/'> July </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/06/'> June </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/03/'> March </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate 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