A Zero-Dimensional Groebner Basis of AES-128 and Its Cryptanalytic

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Date

2012-06

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Addis Ababa University

Abstract

After a detail demonstration of AES (Advanced Encryption Standard) , we explained the procedure of changing the key-recovery problem of AES-128 to a zero dimensional ideal from a single plain text /cipher text pair. Followed by explaining a method, Buchberger's Algorithm for computing a Groebner basis for this ideal. Then, fnally we will discuss on the implication of the result from the cryptanalytic point of view. (i.e. What security implication the existence of the Groebner basis has?)

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Zero-Dimensional Groebner Basis

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