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An Alternative Approach for SIDH Arithmetic

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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× speedup compared to SIKEp751 for a similar level of security.
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Dates and versions

lirmm-02990006 , version 1 (05-11-2020)
lirmm-02990006 , version 2 (03-03-2021)
lirmm-02990006 , version 3 (22-03-2021)
lirmm-02990006 , version 4 (19-04-2021)

Identifiers

  • HAL Id : lirmm-02990006 , version 4

Cite

Cyril Bouvier, Laurent Imbert. An Alternative Approach for SIDH Arithmetic. 2021. ⟨lirmm-02990006v4⟩
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