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Preprints, Working Papers, ... Year : 2023

SQISignHD: New Dimensions in Cryptography

Abstract

We introduce SQISignHD, a new post-quantum digital signature scheme inspired by SQISign. SQISignHD exploits the recent algorithmic breakthrough underlying the attack on SIDH, which allows to efficiently represent isogenies of arbitrary degrees as components of a higher dimensional isogeny. SQISignHD overcomes the main drawbacks of SQISign. First, it scales well to high security levels, since the public parameters for SQISignHD are easy to generate: the characteristic of the underlying field needs only be of the form 2 f 3 f ′ − 1. Second, the signing procedure is simpler and more efficient. Third, the scheme is easier to analyse, allowing for a much more compelling security reduction. Finally, the signature sizes are even more compact than (the already record-breaking) SQISign, with compressed signatures as small as 105 bytes for the post-quantum NIST-1 level of security. These advantages may come at the expense of the verification, which now requires the computation of an isogeny in dimension 4, a task whose optimised cost is still uncertain, as it has been the focus of very little attention.
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Dates and versions

hal-04056062 , version 1 (03-04-2023)
hal-04056062 , version 2 (29-04-2024)

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Identifiers

  • HAL Id : hal-04056062 , version 2

Cite

Pierrick Dartois, Antonin Leroux, Damien Robert, Benjamin Wesolowski. SQISignHD: New Dimensions in Cryptography. 2023. ⟨hal-04056062v2⟩
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