On Asymptotic Security Estimates in XL and Grobner Bases-Related Algebraic Cryptanalysis
學年 93
學期 1
出版（發表）日期 2004-10-01
作品名稱 On Asymptotic Security Estimates in XL and Grobner Bases-Related Algebraic Cryptanalysis
作品名稱（其他語言）
著者 楊柏因
單位 淡江大學數學學系
出版者
著錄名稱、卷期、頁數 Information and Communications Security,　p.401-413
摘要 “Algebraic Cryptanalysis” against a cryptosystem often comprises finding enough relations that are generally or probabilistically valid, then solving the resultant system. The security of many schemes (most important being AES) thus depends on the difficulty of solving multivariate polynomial equations. Generically, this is NP-hard. The related methods of XL (EXTENDED LINEARIZATION), Gröbner Bases, and their variants (of which a large number has been proposed) form a unified approach to solving equations and thus affect our assessment and understanding of many cryptosystems. Building on prior theory, we analyze these XL variants and derive asymptotic formulas giving better security estimates under XL-related algebraic attacks; through this examination we have hopefully improved our understanding of such variants. In particular, guessing a portion of variables is a good idea for both XL and Gröbner Bases methods.
關鍵字 XL;Gröbner Bases;multivariate quadratics;algebraic cryptanalysis;asymptotic security estimates
語言 zh_TW
ISSN
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版
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