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Weakness in quaternion signatures

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1999) 1666 305-314
DOI: 10.1007/3-540-48405-1_19
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Abstract

This note continues a sequence of attempts to define efficient digital signature schemes based on low-degree polynomials, or to break such schemes. We consider a scheme proposed by Satoh and Araki (1997), which generalizes the Ong-Schnorr-Shamir scheme to the non-commutative ring of quaternions. We give two different ways to break the scheme.

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Coppersmith, D. (1999). Weakness in quaternion signatures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1666, pp. 305–314). Springer Verlag. https://doi.org/10.1007/3-540-48405-1_19

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