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(carried)f(out)h(a)h(sim)m(ulation)d(as)i(follo)m(ws.)71 b(The)41 b(probabilit)m(y)0 4713 y(distribution)27 b(v)m(ector)32 b Fj(p)37 b Fp(\(4\))31 b(is)f(de\014ned)f(b)m(y)552 4929 y Fo(p)598 4944 y Fl(k)666 4929 y Fm(,)762 4801 y Fh(\022)837 4868 y Fo(t)829 4991 y(k)879 4801 y Fh(\023)946 4929 y Fo(p)992 4891 y Fl(k)1034 4929 y Fp(\(1)21 b Fn(\000)f Fo(p)p Fp(\))1307 4891 y Fl(t)p Fd(\000)p Fl(k)1430 4929 y Fo(;)107 b(p)25 b Fm(,)1738 4868 y Fo(s)20 b Fp(+)g(1)p Fo(=)p Fp(2)p 1738 4908 291 4 v 1867 4991 a Fo(t)2039 4929 y(;)106 b Fp(0)26 b Fn(\024)e Fo(k)29 b Fn(\024)c Fo(t;)p eop end end %%Page: 156 6 TeXDict begin HPSdict begin 156 5 bop 0 253 a Fp(156)2531 b Fg(A)m(CCT2016)0 573 y Fp(i.e.)48 b(the)34 b(n)m(um)m(b)s(er)d(of)i (defectiv)m(e)h(elemen)m(ts)g Fn(jS)1597 587 y Fl(un)1685 573 y Fn(j)f Fp(has)g(the)g(binomial)d(distribution)f(with)0 674 y(the)35 b(mean)g(v)-5 b(alue)34 b Fo(s)23 b Fp(+)g(1)p Fo(=)p Fp(2.)55 b(A)34 b(co)s(de)h Fo(X)43 b Fp(is)33 b(generated)j(randomly)d(from)i(the)g(ensem)m(ble)0 776 y(of)c(constan)m(t-w)m(eigh)m(t)h(co)s(des,)f(i.e.)41 b(for)31 b(some)g(w)m(eigh)m(t)g(parameter)g Fo(w)r Fp(,)g(ev)m(ery)g (co)s(dew)m(ord)g(of)0 878 y Fo(X)k Fp(is)27 b(c)m(hosen)h(indep)s (enden)m(tly)d(and)i(equiprobably)e(from)i(the)h(set)g(of)g(all)2520 804 y Fh(\000)2575 837 y Fl(t)2561 909 y(w)2614 804 y Fh(\001)2683 878 y Fp(co)s(dew)m(ords.)0 979 y(F)-8 b(or)37 b(ev)m(ery)h(w)m(eigh)m(t)f Fo(w)i Fp(and)d(ev)m(ery)i(decision)d (rule,)i(w)m(e)g(rep)s(eat)g(generation)g(1000)h(times)0 1081 y(and)32 b(c)m(ho)s(ose)h(the)g(co)s(de)g(with)e(minimal)f(error)i (probabilit)m(y)-8 b(.)45 b(Note)34 b(that)f(for)f(disjunctiv)m(e)0 1183 y(decision)37 b(rule)h(Pr)o Fn(f)p Fp(accept)32 b Fo(H)1044 1197 y Fi(0)1083 1183 y Fn(j)p Fo(H)1184 1197 y Fi(1)1224 1183 y Fn(g)39 b Fp(=)g(0.)66 b(In)38 b(T)-8 b(able)38 b(2)h(the)g(b)s(est)f(v)-5 b(alues)38 b(of)h(maximal)0 1284 y(error)30 b(probabilit)m(y)e(for)i(\014xed)g (parameters)g Fo(s)p Fp(,)h Fo(t)f Fp(and)f Fo(N)41 b Fp(are)31 b(sho)m(wn)e(in)g(b)s(old.)960 1534 y(T)-8 b(able)30 b(2:)42 b(Results)29 b(of)i(sim)m(ulation)p 26 1620 3066 4 v 25 1733 4 113 v 215 1733 V 215 1733 V 656 1699 a(Threshold)d(decision)h(rule)p 2018 1733 V 2018 1733 V 487 w(Disjunctiv)m(e)g(decision)g(rule)p 3090 1733 V 26 1736 3066 4 v 25 1849 4 113 v 80 1815 a Fo(N)p 215 1849 V 114 w Fp(Pr)o Fn(f)p Fp(acc.)43 b Fo(H)678 1829 y Fi(1)717 1815 y Fn(j)p Fo(H)818 1829 y Fi(0)857 1815 y Fn(g)100 b Fp(Pr)o Fn(f)p Fp(acc.)43 b Fo(H)1413 1829 y Fi(0)1452 1815 y Fn(j)p Fo(H)1553 1829 y Fi(1)1592 1815 y Fn(g)100 b Fo(w)i(T)p 2018 1849 V 113 w Fp(Pr)o Fn(f)p Fp(acc.)43 b Fo(H)2481 1829 y Fi(1)2520 1815 y Fn(j)p Fo(H)2621 1829 y Fi(0)2660 1815 y Fn(g)185 b Fo(w)p 3090 1849 V 26 1852 3066 4 v 1266 1932 a(s)25 b Fp(=)g(2)p Fo(;)107 b(t)25 b Fp(=)g(15)p 26 1969 V 25 2082 4 113 v 99 2048 a(5)p 215 2082 V 297 w Fe(0)p Fo(:)p Fe(1366)467 b Fp(0)p Fo(:)p Fp(1355)305 b(2)121 b(3)p 2018 2082 V 302 w(0)p Fo(:)p Fp(4780)390 b(2)p 3090 2082 V 26 2085 3066 4 v 25 2198 4 113 v 99 2164 a(8)p 215 2198 V 314 w(0)p Fo(:)p Fp(0732)468 b Fe(0)p Fo(:)p Fe(0824)287 b Fp(3)121 b(5)p 2018 2198 V 302 w(0)p Fo(:)p Fp(3610)390 b(2)p 3090 2198 V 26 2201 3066 4 v 25 2314 4 113 v 76 2280 a(10)p 215 2314 V 396 w(0)569 b Fe(0)p Fo(:)p Fe(0744)287 b Fp(1)121 b(2)p 2018 2314 V 302 w(0)p Fo(:)p Fp(2390)390 b(3)p 3090 2314 V 26 2317 3066 4 v 25 2430 4 113 v 76 2396 a(12)p 215 2430 V 396 w(0)569 b Fe(0)p Fo(:)p Fe(0440)287 b Fp(1)121 b(2)p 2018 2430 V 302 w(0)p Fo(:)p Fp(1220)390 b(3)p 3090 2430 V 26 2434 3066 4 v 25 2547 4 113 v 76 2513 a(14)p 215 2547 V 396 w(0)569 b Fe(0)p Fo(:)p Fe(0349)287 b Fp(2)121 b(4)p 2018 2547 V 302 w(0)p Fo(:)p Fp(0537)390 b(3)p 3090 2547 V 26 2550 3066 4 v 25 2663 4 113 v 76 2629 a(15)p 215 2663 V 396 w(0)586 b(0)p Fo(:)p Fp(0258)305 b(2)121 b(4)p 2018 2663 V 285 w Fe(0)p Fo(:)p Fe(0195)372 b Fp(3)p 3090 2663 V 26 2666 3066 4 v 1266 2745 a Fo(s)25 b Fp(=)g(2)p Fo(;)107 b(t)25 b Fp(=)g(20)p 26 2782 V 25 2895 4 113 v 99 2861 a(5)p 215 2895 V 297 w Fe(0)p Fo(:)p Fe(1398)467 b Fp(0)p Fo(:)p Fp(1365)305 b(2)121 b(3)p 2018 2895 V 302 w(0)p Fo(:)p Fp(5356)390 b(2)p 3090 2895 V 26 2899 3066 4 v 25 3011 4 113 v 99 2978 a(8)p 215 3011 V 297 w Fe(0)p Fo(:)p Fe(0897)467 b Fp(0)p Fo(:)p Fp(0890)305 b(3)121 b(5)p 2018 3011 V 302 w(0)p Fo(:)p Fp(4169)390 b(2)p 3090 3011 V 26 3015 3066 4 v 25 3128 4 113 v 76 3094 a(10)p 215 3128 V 275 w Fe(0)p Fo(:)p Fe(0897)467 b Fp(0)p Fo(:)p Fp(0858)305 b(3)121 b(5)p 2018 3128 V 302 w(0)p Fo(:)p Fp(3008)390 b(3)p 3090 3128 V 26 3131 3066 4 v 25 3244 4 113 v 76 3210 a(12)p 215 3244 V 275 w Fe(0)p Fo(:)p Fe(0580)467 b Fp(0)p Fo(:)p Fp(0576)305 b(4)121 b(7)p 2018 3244 V 302 w(0)p Fo(:)p Fp(1979)390 b(3)p 3090 3244 V 26 3247 3066 4 v 25 3360 4 113 v 76 3326 a(15)p 215 3360 V 396 w(0)569 b Fe(0)p Fo(:)p Fe(0324)287 b Fp(2)121 b(4)p 2018 3360 V 302 w(0)p Fo(:)p Fp(0792)390 b(4)p 3090 3360 V 26 3363 3066 4 v 0 3786 a Fq(References)45 3978 y Fp([1])47 b Fk(D'yachkov)32 b(A.G.)p Fp(,)d Fk(V)-7 b(or)i(obyev)32 b(I.V.)p Fp(,)d Fk(Polyanskii)k(N.A.)p Fp(,)28 b Fk(Shchukin)k(V.Y)-7 b(u.)p Fp(,)28 b(Almost)187 4079 y(Disjunctiv)m(e)k(List-Deco)s(ding)g (Co)s(des,)h Fk(Pr)-5 b(oblems)35 b(of)g(Information)i(T)-7 b(r)i(ansmission)p Fp(,)187 4181 y(v)m(ol.)31 b(51,)g(no.)g(2,)g(pp.)e (110-131,)34 b(2015.)45 4343 y([2])47 b Fk(Zub)-5 b(ashich)44 b(V.F.)p Fp(,)g Fk(Lysyansky)f(A.V.)p Fp(,)h Fk(Malyutov)f(M.B.)p Fp(,)h(Blo)s(c)m(krandomized)c(dis-)187 4445 y(tributed)f(troublesho)s (oting)g(construction)h(in)g(large)g(circuits)g(with)f(redundancy)-8 b(.)187 4547 y Fk(Izvestia)33 b(of)g(the)g(USSR)f(A)-5 b(c)g(ad.)34 b(of)f(Sci.,)f(T)-7 b(e)i(chnic)g(al)34 b(Cyb)-5 b(ernetics)p Fp(,)31 b(v)m(ol.)g(6,)g(1976.)45 4709 y([3])47 b Fk(Damaschke)35 b(P.)p Fp(,)d Fk(Muhammad)j(A.S.)p Fp(,)d(Comp)s(etitiv)m(e)f(group)h(testing)f(and)h(learning)187 4811 y(hidden)25 b(v)m(ertex)j(co)m(v)m(ers)h(with)d(minim)m(um)e (adaptivit)m(y)-8 b(,)28 b Fk(Discr)-5 b(ete)30 b(Math.)g(A)n (lgorithm.)187 4912 y(Appl.)p Fp(,)h(v)m(ol.)g(2,)g(no.)f(3,)h(pp.)f (291-311,)j(2010.)p eop end end %%Trailer end userdict /end-hook known{end-hook}if %%EOF