Welcome to the resource topic for 2020/1385
Title:
An Alternative Approach for SIDH Arithmetic
Authors: Cyril Bouvier, Laurent Imbert
Abstract:In this paper, we present new algorithms for the field arithmetic of supersingular isogeny Diffie-Hellman; one of the fifteen remaining candidates in the NIST post-quantum standardization process. Our approach uses a polynomial representation of the field elements together with mechanisms to keep the coefficients within bounds during the arithmetic operations. We present timings and comparisons for SIKEp503 and suggest a novel 736-bit prime that offers a 1.17\times speedup compared to SIKEp751 for a similar level of security.
ePrint: https://eprint.iacr.org/2020/1385
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