A GF(p) elliptic curve group operator resistant against side channel attacks

Authors:
Santosh Ghosh;Monjur Alam;Dipanwita RoyChowdhury;Indranil SenGupta
Affiliations:
Indian Institute of Technology Kharagpur, Kharagpur, India;Indian Institute of Technology Kharagpur, Kharagpur, India;Indian Institute of Technology Kharagpur, Kharagpur, India;Indian Institute of Technology Kharagpur, Kharagpur, India
Venue:
Proceedings of the 18th ACM Great Lakes symposium on VLSI
Year:
2008

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Abstract

This paper deals with FPGA and ASIC implementations of side-channel attack resistant elliptic curve cryptosystems defined over GF(p). The elegance of the design lies in the fact that all operations are performed in binary number system, thus reducing conversion overheads of existing architectures. In our implementation, point addition and point doubling operations are performed in affine coordinates. They are performed using same amount of computation, which provides a secure design against timing and power analysis attacks. Implementation and side-channel analysis results are compared with related existing designs.