CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="390"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'managed',cRay: '919a8408eb20f914',cH: 'DSFNaVJUrm3dnVRWFHGePUhpZqTTQlrlogGwdIYyhfg-1740851626-1.2.1.1-zqkTjJvUZoRNBMEwGOPge27hdgSuMuxJcOYRx9DFS6RX7MDpJ.j6reVdZCpFqNMZ',cUPMDTk: "\/abstracts\/search?q=point%20multiplication.&__cf_chl_tk=ck8U0uhPKmWbcNPFg0hVC8qFacykeWFj_t1R4qKfmK0-1740851626-1.0.1.1-kpi.OqVVDmjP4gQBGnfQJdCAgOu3uf_slx8zb53Jtqk",cFPWv: 'b',cITimeS: '1740851626',cTTimeMs: '1000',cMTimeMs: '390000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=point%20multiplication.&__cf_chl_f_tk=ck8U0uhPKmWbcNPFg0hVC8qFacykeWFj_t1R4qKfmK0-1740851626-1.0.1.1-kpi.OqVVDmjP4gQBGnfQJdCAgOu3uf_slx8zb53Jtqk",md: "mzfhEOHpCvVU98BfUxTbCS4StQYohGw43ltonao.h1E-1740851626-1.2.1.1-S.8ThAMzBdoSwJFgQuO7zLnFQONGQWRpPn_XPjynZuCltumuvpLe3.ZDBeoVlSRU79WvTDHFO24n7x5XJxmQoRCSW.8ybE8FULmN9vBKfKRJZRNE6bPnR.tgz2FLTIzb7fEURiMqBz1ilyYDhL3z5vX8UDKpzRiWUxx2Z57fus09vbc_QGwv4LwQeE8zQjpTdhMVkS.JtSZBduohMAp6c6kvWE7e_AGLv70lRtbuAhuvyCjqp2t1PW6Bt4WY11E7mtanJbsnnRhG5ReGF5ghnxFXAjVl6vmLhfN8U22ol5LaW7PKpvO_8RWQ03RnJP8aCST.vDc7hqWXj1LtoJG.FjnP2zf21EEKA19ljCx4s5pgONkpaY.f40SUWuioHCZiPAeEjfOUtAQusK1zh3Midee1Fs76IdpfCIOUTsOlOsY7Ifrc9cxzWkSwwfeXzU6MLxmnSQkfeE_5.u2jztgb7VufOafKt7D3mRZSYf0CWdyWHtRcPwRB1HqGX3_b6BP_WhYIjSc011tyA3ztMKNP92l6bg9_WMwF7Y3fo1Wmly1cPDl9XneEkH1YP.fTuv6Op6t7qs2Nmz98je1AM6qis6cn62.Z9thTyqDabSujbaVFJsIj.ySDvUyxjPZt0z6ZaSPB_oeBOcYXx5vRQJaBNu9iKUHjCPMepjfI8TFxq__5qA6YsJKiWUKHesAf9RW2mqHkkFbHhODiZaJ6vnBuvqgi5EYJHx1ElissM..KQKXQRLDYTABUkcMcdbE_F1HMoXq9jB9XpM_ftm5zKRkMU2eWvSs0QqERa.tGUnzMZoo1sXGz.m_wx6FJxKupcm7Qk8iXRdCVeBhEySmP3vkJs9A5fD4JJrKj7YBlnnGMZQ1lf2jMk345Muv0rlk1iBoNFaBbgxyEjZI03TINs90n_Scxk3kEAp0SUO09rzOVDbAUhPy4KNjj4a4c2OnnlTm8hy3Cy7EVyY2rfrPvg8oTthqVdg3AzS0i6qYhmlq1cI.Oh.61Onx6GCYuFXfiT6SIzxvRXCDPVgQxUXTlQ_YIPxlHIfinS9v.qdKY3LMdxKwWOGqCN8dc00F_wWxfDeUf1CAETdA0WjKecLN9F0Borx_tK_em2kdAm8NjaWWnPxUU3gNQYIQU2.z5OhU.f.4HoQ8kXaVhJ.VrYCqPDDeJ14vwn5h7wiIPYAZEi2Pn1xLU4gZLBGt_SiaQsy11AjY_yGxMu6sXFUX7JgyRo4XHxOfJa4zrw4B3PzcWnjLTfXf0WtFXQGqAJQ_RqzxIVIlpjVuflPASbCc0He4X98Xy0wELHX_FvgAehn7rv5l00rQ",mdrd: "1.j4GNhB1gPxLZPOwP.pXgatOAbAtgyel9RHC.kjEw8-1740851626-1.2.1.1-tVmGbakyXb2yQxja_47YBxIskSsQUGA00cy5HMcE9Nbxa.FAl.VrRUuzDGNNz8ZGQ3Mg8LLeUdg40Gdn2lpCl_TXeJEg7eydd_ApiDbGCwIfWXwFHlI7TEc92EGq4oT2zdkBj_L7YZEN_PXziINEZyzV83O1_bnL2iIeiuvaCsi2VbbJzypKQ8FhsqD47y8xa5nPCmHyZqPS6G64APe1B80xVSWO.bVUANYjOgRZGP21uYl8e.j6J3vJFJxWm0LHKzRvKOZpyvcq5mglHmjpfn6dE94uzHPVhZdHO27WNOODAikRRg6l77sQ.G_tn.npKKDnuw.Zay9ipSejQiT51c_XKaxPURNVJgkt2lLe4vfM48oV694uuIsVCGSGiqa_67UEWjkckJZbVoqrrlvJVCOFunDJStKd2DNayo.6fx70OVIWEGCtRoddrmfzb3HGJlf385K_RgLSTaNEoO39G8J.tE8hUBV6uw5.YiYbnnykxOWjMDrl70GSS5P3J9y4DoxFbkRGxZx0yUO54c8cxp4mD29XvmTYARXMEI3rfWQX62Sd3EWt34UyRtvZCURmkXwnBZ4j4bjz7_09hMmNfBg_08dxUB2ltqW3512fLui3sIDWygpQvJ8wSJpaQKGeT1kkex3lv.vvv9cJAYxojdPLDRVMSmmVO81bqBK3MEgdDI3P1il9li9.in60JYp7.lz4.kW805aX8I5KBtGHTHihztexzlR9ZQ6acu7hhZu7T1BNN4zzJo_vkBnQQ_0UbFLS.tIzBHFG6WkvxNwGoSxusH.EJNHFYeWa3Z.VUlPYLARn6gg7Eg7B3ia7q1U8jRXCmJP2Ie8fcM20N8mKQLeoKIO.ID9q1m8bJxy1aopfuchbMq87xJ0S4Xd5xIWpLgwHdVOOz.tMmgyi8oBoR.lO6pb5HVtpmLzddkx9yO7v2Z7qwHP.wO6vSL_qtX7LgZZoSIaL9SL3_OM36xy9haOtrfOb7ROfBDWBmZVqXloi2yIhUgpJgRZcDDgszf_dOZnDX621BsjZLG0MqVYkVBNhXHI3DaVCN3BuR.ybvF60f8v_mKMDlIjdFeOaWuIyoxvXZklMtMabTfUNZEzfCxUPLhvV6je9SdLugQxaAPzMJwWZMlFnCuiixCjia.mZN2Yy1S60YVvdyj9v.JCvJN0hoE56bvNZ0G07dxSEcKYkOPuJttIdMo5DF.knAgUrkETWc9QIBRigxonN4VQIYA3OMARSZZMBwt.sYRqlECZm7ak3jEyth5flegDxaSouXTt9sLwq_GFIDmGARHL_EEtGx4R74rvNmEzldO4mEPqgQYS8ougI9lzUKwJqkiL0ZbvudumsIz8uz4hrgcEvmJ38xlz4jErEXta9W5mUhAJG2F8iaa9k7DhrMfJNUQbgrD9RsYq.IYZ4UJ9vqRTKZo4U1pIKS_EXH265KVz7gQXlE1TD_k3E3HCFtjm8.ffSK0a5Bwev.X2fMhXSaKZszbyzDE6wEExczDfWsK3PR7y2hlp4WXgTTtepYnCRW6TzMCZvBR99rtXrvSppi1mIC8LrWW_KfOsHo5VJWvLzSllVIThO4s1Rqe2XktqDp0TKhNVfJHj2OLQjw_vfWyVfEwvI0rHSbabyE6gZBAPOgMf1Kz8bhjzYkPT6fzRwe8dM6us69Ux7Aby4Y79mwarRj4Rk90HXla9_xBF4_NxoZYE0gO.OK7RVA9fUR4lwqSQfkEtmdVUvXTcQeJQ67m_NQkiUOTfmgIrPYtjis4bpkslaV8fTDNs6y9jq9PJ_iAFyv0P9Ehyx8RMyFpVXnl1EFmdPCUp8qo4wsgB0ulREyvkY_GWrFGRmYjeSINLJwK90CrXpD_VkgKCsV5S7fznOCbd4oS8dWeON00hGI4qZJWoNSg2eSTx_yxTQSM47Ap_.OXliOc9NFPOjLNiASZj6lqkVfCcwsW_VLPt0gGUlMP2ZMJGDVigvNtB6cNJPQ7YA"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=919a8408eb20f914';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=point%20multiplication.&__cf_chl_rt_tk=ck8U0uhPKmWbcNPFg0hVC8qFacykeWFj_t1R4qKfmK0-1740851626-1.0.1.1-kpi.OqVVDmjP4gQBGnfQJdCAgOu3uf_slx8zb53Jtqk" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>