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    題名: Building Secure Tame-Like Multivariate Public-Key Crpotosystems: the New TTS
    作者: 楊柏因
    貢獻者: 淡江大學數學學系
    日期: 2005-07
    上傳時間: 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 , pp.518-531
    DOI: 10.1007/11506157_43
    顯示於類別:[數學學系暨研究所] 期刊論文

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