Building Secure Tame-Like Multivariate Public-Key Crpotosystems: the New TTS

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/58822

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题名:	Building Secure Tame-Like Multivariate Public-Key Crpotosystems: the New TTS
作者:	楊柏因
贡献者:	淡江大學數學學系
关键词:	Smart Card;Signature Scheme;Central Equation;Digital Signature Scheme;Multivariate Signature Scheme
日期:	2005-07
上传时间:	2011-10-01 21:13:55 (UTC+8)
摘要:	Multivariate public-key cryptosystems (sometimes polynomial-based PKC’s or just multivariates) handle polynomials of many variables over relatively small fields instead of elements of a large ring or group. The “tame-like” or “sparse” class of multivariates are distinguished by the relatively few terms that they have per central equation. We explain how they differ from the “big-field” type of multivariates, represented by derivatives of C ∗ and HFE, how they are better, and give basic security criteria for them. The last is shown to be satisfied by efficient schemes called “Enhanced TTS” which is built on a combination of the Oil-and-Vinegar and Triangular ideas. Their security levels are estimated. In this process we summarize and in some cases, improve rank-based attacks, which seek linear combinations of certain matrices at given ranks. These attacks are responsible for breaking many prior multivariate designs.
關聯:	Information Security and Privacy ,　p.518-531
DOI:	10.1007/11506157_43
显示于类别:	[數學學系暨研究所] 期刊論文

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