Invention Grant
US08457303B2 Fault-resistant calculcations on elliptic curves 有权
椭圆曲线上的抗破坏计算

  • Patent Title: Fault-resistant calculcations on elliptic curves
  • Patent Title (中): 椭圆曲线上的抗破坏计算
  • Application No.: US12661246
    Application Date: 2010-03-12
  • Publication No.: US08457303B2
    Publication Date: 2013-06-04
  • Inventor: Marc Joye
  • Applicant: Marc Joye
  • Applicant Address: FR Issy les Moulineaux
  • Assignee: Thomson Licensing
  • Current Assignee: Thomson Licensing
  • Current Assignee Address: FR Issy les Moulineaux
  • Agency: Tutunjian & Bitetto, P.C.
  • Priority: EP09305236 20090313; EP09165551 20090715
  • Main IPC: H04K3/00
  • IPC: H04K3/00
Fault-resistant calculcations on elliptic curves
Abstract:
Means for checking the correctness of a cryptographic operation on an elliptic curve E(Z/pZ), including fault-resistant computation of Q=kP on elliptic curve E(Z/pZ). Elliptic curve E^(Z/pr2Z)≡E(Z/pZ)×E(Z/r2Z) is given by Chinese remaindering and where r is an integer. A point P^=CRT(P (mod p), R (mod r2)) is formed in E^(Z/pr2Z); P^ reduces to P in E(Z/pZ), and to R in E1(Z/r2Z). Q^=kP^ in E^(Z/pr2Z) is computed (130). It is then verified whether Q^≡kR (mod r2) in E1(Z/r2Z), and if so, Q=Q^ mod p is output, whereas “error” is returned if this is not the case. Also provided are an apparatus and a computer program product.
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