Related Concepts
Definition
In the CFS scheme [1], the digital signature is obtained by applying the decoding procedure of some public error correcting code on a digest of the message to be signed, obtained by a cryptographic hash function. Only the legal user, who knows the hidden algebraic structure of the code, can produce the signature, while anyone can check that the signature is a valid answer to the decoding problem.
Theory
The construction for the McEliece-based signature scheme was proposed by Courtois, Finiasz, and Sendrier in 2001 [1]. Despite its name, this construction is based on Niederreiter’s encryption scheme rather than the original McEliece cryptosystem. It was the first practical code-based digital signature scheme with a security reduction to the Syndrome Decoding Problem.
General Idea
The public key is a binary r ×n matrix H, which is an arbitrary parity check matrix of some t-erro...
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Courtois N, Finiasz M, Sendrier N (2001) How to achieve a McEliece-based digital signature scheme. In: Boyd C (ed) Advances in cryptology – ASIACRYPT 2001. Lecture notes in computer science, vol 2248. Springer, Berlin, pp 157–174
Wagner D (2002) A generalized birthday problem. In: Yung M (ed) Advances in cryptology – CRYPTO’02. Lecture notes in computer science, vol 2442. Springer, Berlin, pp 288–303
Coron JS, Joux A (2004) Cryptanalysis of a provably secure cryptographic hash function. Cryptology ePrint Archive. http://eprint.iacr.org/2004/013/
Finiasz M, Sendrier N (2009) Security bounds for the design of code-based cryptosystems. In: Matsui M (ed) Advances in cryptology – ASIACRYPT 2009. Lecture notes in computer science, vol 5912. Springer, Berlin, pp 88–105
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Finiasz, M., Sendrier, N. (2011). Digital Signature Scheme Based on McEliece. In: van Tilborg, H.C.A., Jajodia, S. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5906-5_380
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DOI: https://doi.org/10.1007/978-1-4419-5906-5_380
Publisher Name: Springer, Boston, MA
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