Utilizing the Double-Precision Floating-Point Computing Power of GPUs for RSA Acceleration

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center"> Bernstein et al. [<a href="/journals/scn/2017/3508786/#B4">5</a>] </td><td class="align_center"> Proposed </td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">Platform</td><td class="align_center"> GTX 295</td><td class="align_center"> GTX TITAN</td></tr><tr><td class="align_left">GFLOPS</td><td class="align_center"> 1788</td><td class="align_center"> 4500</td></tr><tr><td class="align_left">Scaling factor</td><td class="align_center"> 0.397</td><td class="align_center"> 1</td></tr><tr><td class="align_left" colspan="3"><hr/></td></tr><tr><td class="align_left">280-bit MulMod (ops/s)</td><td class="align_center"><span style="width: 59.0721ptpx;"><svg height="11.9413pt" id="M429" style="vertical-align:-0.3499002pt" version="1.1" viewbox="-0.0498162 -11.5914 59.0721 11.9413" width="59.0721pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 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transform="matrix(.013,0,0,-0.013,47.711,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path></g><g transform="matrix(.0091,0,0,-0.0091,53.951,-5.741)"><path d="M141 347C171 480 264 541 327 570C364 587 403 599 436 605L429 641C389 634 339 622 300 609C191 570 37 458 37 239C37 86 126 -12 245 -12C367 -12 454 89 454 210C454 314 380 397 272 397C252 397 230 390 208 380L141 347ZM231 338C323 338 366 257 366 174C366 108 340 27 263 27C180 27 129 123 129 244C129 268 130 292 135 310C158 323 193 338 231 338Z" id="g50-55"></path></g></svg></span></td><td class="align_center">—</td></tr><tr><td class="align_left">1024-bit MulMod (ops/s)</td><td class="align_center"> —</td><td class="align_center"><span style="width: 59.0721ptpx;"><svg height="11.9413pt" id="M430" style="vertical-align:-0.3499002pt" version="1.1" 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colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Performance comparison of Bernstein et al. [<a href="/journals/scn/2017/3508786/#B4">5</a>].

Security and Communication Networks

tab7

Table 7

Table 7: Utilizing the Double-Precision Floating-Point Computing Power of GPUs for RSA Acceleration 