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An Alternative Approach for SIDH Arithmetic

Cyril Bouvier 1 Laurent Imbert 2 
2 ECO - Exact Computing
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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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Preprints, Working Papers, ...
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-02990006
Contributor : Laurent Imbert Connect in order to contact the contributor
Submitted on : Wednesday, March 3, 2021 - 10:27:37 AM
Last modification on : Friday, October 22, 2021 - 3:07:36 PM

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  • HAL Id : lirmm-02990006, version 2

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Cyril Bouvier, Laurent Imbert. An Alternative Approach for SIDH Arithmetic. 2021. ⟨lirmm-02990006v2⟩

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