[Resource Topic] 2019/544: Evaluation of Code-based Signature Schemes

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Title:
Evaluation of Code-based Signature Schemes

Authors: Partha Sarathi Roy, Kirill Morozov, Kazuhide Fukushima, Shinsaku Kiyomoto

Abstract:

Code-based cryptographic schemes recently raised to prominence as quantum-safe alternatives to the currently employed number-theoretic constructions, which do not resist quantum attacks. In this article, we discuss the Courtois-Finiasz-Sendrier signature scheme and derive code-based signature schemes using the Fiat-Shamir transformation from code-based zero-knowledge identification schemes, namely the Stern scheme, the Jain-Krenn-Pietrzak-Tentes scheme, and the Cayrel-Veron-El Yousfi scheme. We analyze the security of these code-based signature schemes and derive the security parameters to achieve the 80-bit and 128-bit level of classical security. To derive the secure parameters, we have studied the hardness of Syndrome Decoding Problem. Furthermore, we implement the signature schemes, based on the Fiat-Shamir transform, which were mentioned above, and compare their performance on a PC.

ePrint: https://eprint.iacr.org/2019/544

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