Towards a Concrete Security Proof of Courtois, Finiasz and Sendrier Signature Scheme

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Abstract

Courtois, Finiasz and Sendrier proposed in 2001 a practical code-based signature scheme. We give a rigorous security analysis of a modified version of this scheme in the random oracle model. Our reduction involves two problems of coding theory widely considered as difficult, the Goppa Parametrized Bounded Decoding and the Goppa Code Distinguishing.