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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 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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Submitted on : Friday, May 28, 2021 - 11:20:15 AM
Last modification on : Friday, August 5, 2022 - 3:02:58 PM
Long-term archiving on: : Sunday, August 29, 2021 - 6:51:01 PM


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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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