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Conference Papers Year : 2021

An Alternative Approach for SIDH Arithmetic

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Abstract

In this paper, we present new algorithms for the field arithmetic layers 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×speedup compared to SIKEp751 for a similar level of security.
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Dates and versions

lirmm-03219438 , version 1 (28-05-2021)

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Cyril Bouvier, Laurent Imbert. An Alternative Approach for SIDH Arithmetic. PKC 2021 - IACR International Conference on Public-Key Cryptography, May 2021, Virtual, United Kingdom. pp.27-44, ⟨10.1007/978-3-030-75245-3_2⟩. ⟨lirmm-03219438⟩
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