The Matsumoto-Imai public key scheme was developed to provide very fast signatures. It is based on substitution polynomials over GF(2m). This paper shows in two ways that the Matsumoto-Imai public key scheme is very easy to break. In the faster of the two attacks the time to cryptanalyze the scheme is about proportional to the binary length of the public key. This shows that Matsumoto and Imai greatly overestimated the security of their scheme.
CITATION STYLE
Delsarte, P., Desmedt, Y., Odlyzko, A., & Piret, P. (1985). Fast cryptanalysis of the Matsumoto-Imai public key scheme. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 209 LNCS, pp. 142–149). Springer Verlag. https://doi.org/10.1007/3-540-39757-4_14
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