Abstract
In this paper we look at the statistical decoding attack on the McEliece cryptosystem from [4]. The statistical decoding algorithm is a probabilistic algorithm for correcting errors in random codes. It uses precomptuations to provide faster error correction than the classical general decoding algorithms. We analyze the success probability of the algorithm and show how to improve it. Further, we show that the algorithm may not be used to attack the McEliece cryptosystem, due to the large amount of precomputation needed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Berlekamp, E., McEliece, R., van Tilborg, H.: On the inherent intractability of certain coding problems. IEEE Transactions on Information Theory 24(3), 384–386 (1978)
Canteaut, A., Chabaud, F.: A new algorithm for finding minimum-weight words in a linear code: Application to McEliece’s cryptosystem and to narrow-sense BCH codes of length 511. IEEETIT: IEEE Transactions on Information Theory 44 (1998)
Courtois, N.T., Finiasz, M., Sendrier, N.: How to achieve a mcEliece-based digital signature scheme. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 157–174. Springer, Heidelberg (2001)
Al Jabri, A.: A statistical decoding algorithm for general linear block codes. In: Honary, B. (ed.) Cryptography and Coding 2001. LNCS, vol. 2260, pp. 1–8. Springer, Heidelberg (2001)
McEliece, R.J.: A public key cryptosystem based on algebraic coding theory. DSN progress report 42(44), 114–116 (1978)
Sendrier, N.: On the security of the McEliece public-key cryptosystem. In: Blaum, M., Farrell, P.G., van Tilborg, H. (eds.) Proceedings of Workshop honoring Prof. Bob McEliece on his 60th birthday, pp. 141–163. Kluwer, Dordrecht (2002)
Stern, J.: A method for finding codewords of small weight. Coding Theory and Applications 388, 106–133 (1989)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Overbeck, R. (2006). Statistical Decoding Revisited. In: Batten, L.M., Safavi-Naini, R. (eds) Information Security and Privacy. ACISP 2006. Lecture Notes in Computer Science, vol 4058. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11780656_24
Download citation
DOI: https://doi.org/10.1007/11780656_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35458-1
Online ISBN: 978-3-540-35459-8
eBook Packages: Computer ScienceComputer Science (R0)