计算机与数字工程
計算機與數字工程
계산궤여수자공정
COMPUTER & DIGITAL ENGINEERING
2014年
6期
924-926,938
,共4页
赵树林%王正义%陈璐%李墨泚
趙樹林%王正義%陳璐%李墨泚
조수림%왕정의%진로%리묵체
椭圆曲线密码%功耗攻击分析%带符号的阶乘展开式%多标量乘算法
橢圓麯線密碼%功耗攻擊分析%帶符號的階乘展開式%多標量乘算法
타원곡선밀마%공모공격분석%대부호적계승전개식%다표량승산법
ellipse curve cryptography(ECC)%power analysis attack%signed factorial expansions(SFE)%multiple sca-lar multiplication algorithm
采用二进制编码的椭圆曲线密码抗功耗攻击方案往往效率较低。通过将标量表示成带符号的阶乘展开式编码形式，将标量乘法运算转化为一组小整数多标量乘法运算，结合预计算表的方法及基点掩码方法实施抗功耗攻击。根据算法性能分析结果表明，基于带符号阶乘展开式抗功耗攻击方案可以抵御多种功耗攻击，并且能够大幅提高计算效率。
採用二進製編碼的橢圓麯線密碼抗功耗攻擊方案往往效率較低。通過將標量錶示成帶符號的階乘展開式編碼形式，將標量乘法運算轉化為一組小整數多標量乘法運算，結閤預計算錶的方法及基點掩碼方法實施抗功耗攻擊。根據算法性能分析結果錶明，基于帶符號階乘展開式抗功耗攻擊方案可以牴禦多種功耗攻擊，併且能夠大幅提高計算效率。
채용이진제편마적타원곡선밀마항공모공격방안왕왕효솔교저。통과장표량표시성대부호적계승전개식편마형식，장표량승법운산전화위일조소정수다표량승법운산，결합예계산표적방법급기점엄마방법실시항공모공격。근거산법성능분석결과표명，기우대부호계승전개식항공모공격방안가이저어다충공모공격，병차능구대폭제고계산효솔。
The scheme of binary representation power analysis attack for elliptic curve cryptogram is always inefficient . Scalar multiplication was turned into multiple scalar multiplication by coding the scalar with signed factorial expansions .And then a scheme based on Signed Factorial Expansions (SFE) was presented by the method of the pre-computation table and basic point masking algorithm .According to the efficiency analysis ,the result showed that the scheme could resist multiple power analysis attacks and promote operation efficiency .
