Invention Grant
- Patent Title: Fault-resistant calculcations on elliptic curves
- Patent Title (中): 椭圆曲线上的抗破坏计算
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Application No.: US12661246Application Date: 2010-03-12
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Publication No.: US08457303B2Publication 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

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.
Public/Granted literature
- US20100232599A1 Fault-resistant calculcations on elliptic curves Public/Granted day:2010-09-16
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