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Title	Cryptanalysis of the birational permutation signature scheme over a non-commutative ring.
Author(s)	Naoki Ogura, Shigenori Uchiyama
Type	Article in Journal
Abstract	In 2008, Hashimoto and Sakurai proposed a new efficient signature scheme, which is a non-commutative version of Shamir's birational permutation signature scheme. Shamir's scheme is a generalization of the Ong-Schnorr-Shamir scheme and was broken by Coppersmith et al. using its linearity and commutativity. The HS (Hashimoto-Sakurai) scheme is expected to be secure against the attack from its non-commutative structure. In this paper, we propose an attack against the HS scheme, which is practical under the condition that its step size and the number of steps are small. We discuss its efficiency by using some experimental results.
Keywords
ISSN	1883-0609; 1883-0617/e
File
URL	https://www.jstage.jst.go.jp/article/jsiaml/2/0/2_0_85/_article
Language	English
Journal	JSIAM Lett.
Volume	2
Pages	85--88
Publisher	Japan Society for Industrial and Applied Mathematics, Tokyo
Year	2010
Edition	0
Translation	No
Refereed	No