Method to protect a cryptographic assembly by homographic...

Details Method to protect a cryptographic assembly by homographic... Method to protect a cryptographic assembly by homographic...

2005-05-11

2011-12-06

Srivastava, Vivek (Department: 2433)

Electrical computers and digital processing systems: support

Data processing protection using cryptography

C380S263000, C380S277000, C380S286000

Reexamination Certificate

active

08074076

ABSTRACT:
This invention relates to a method to protect an assembly implementing a cryptographic calculation process which uses a homographic function f of type:in-line-formulae description="In-line Formulae" end="lead"?f(z)=(az+b)/(cz+d) when (cz+d) is not equal to 0 andin-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?f(−d/c)=a/cin-line-formulae description="In-line Formulae" end="tail"?the function f operating on masked variables, wherein, for any k, if x is an input and y=f(x+k) is an output of the function f, to pass directly from a masked value x+m_i (additive masking of type XOR) to a masked value y+m_j, the method consists in comprises of performing this operation using a composition of several transformations operating on GF(2^k) with addition of the infinite, defined as (ax+b)/(cx+d), and of transformations which exchange two points.

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