Abstract
An approach is proposed for the cryptanalysis of the well-known version of McEliece’s public-key cryptosystem that is based on a new iterative optimization algorithm for decoding an arbitrary linear code. The algorithm provides guaranteed correction of all error patterns with Hamming weight less than d/2, where d is the minimum distance of the code, and has time complexity about O(n3) where n is the block length. The approach is illustrated by the cryptanalysis of McEliece’s system when a (63, 36) binary code with d = 11 is the underlying linear code.
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C. M. Adams and H. Meijer, Security-related comments regarding McEliece’s public-key cryptosystem, IEEE Trans. Info. Th., vol. IT-35, pp. 454–457, March 1989.
A. I. Turkin and V. I. Korzhik, The practically-optimal decoding algorithm for arbitrary linear codes over a BSC with polynomial time complexity, to be presented at the IEEE Intl. Symp. Info. Th., Budapest, June 1991.
E. R. Berlekamp, R. J. McEliece and H. C. A. van Tilborg, On the inherent intractability of certain coding problems, IEEE Trans. Info. Th., vol. IT-24, pp. 384–386, May 1978.
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© 1991 Springer-Verlag Berlin Heidelberg
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Korzhik, V.I., Turkin, A.I. (1991). Cryptanalysis of McEliece’s Public-Key Cryptosystem. In: Davies, D.W. (eds) Advances in Cryptology — EUROCRYPT ’91. EUROCRYPT 1991. Lecture Notes in Computer Science, vol 547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46416-6_5
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DOI: https://doi.org/10.1007/3-540-46416-6_5
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