Cryptology ePrint Archive: Report 2002/157

In How Many Ways Can You Write Rijndael?

Elad Barkan and Eli Biham

Abstract: In this paper we ask the question what happens if we replace all the constants in Rijndael, including the replacement of the irreducible polynomial, the coefficients of the MixColumn operation, the affine transformation in the S box, etc. We show that such replacements can create new dual ciphers, which are equivalent to the original in all aspects. We present several such dual ciphers of Rijndael, such as the square of Rijndael, and dual ciphers with the irreducible polynomial replaced by primitive polynomials. We also describe another family of dual ciphers consisting of the logarithms of Rijndael. We then discuss self-dual ciphers, and extend our results to other ciphers.

Category / Keywords: secret-key cryptography / AES, Galois Field, Dual Cipher, Self Dual, Logarithm

Publication Info: Asiacrypt 2002.

Date: received 16 Oct 2002

Contact author: barkan at cs technion ac il

Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | BibTeX Citation

Note: An earlier version of this paper appears in Asiacrypt 2002. See also ''The Book of Rijndaels''.

Version: 20021016:182553 (All versions of this report)

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