[Resource Topic] 2004/110: Designing Against the `Overdefined System of Equations' Attack

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Designing Against the `Overdefined System of Equations’ Attack

Authors: Carlisle Adams


Recently, Courtois and Pieprzyk proposed an attack on symmetric ciphers that takes advantage of a previously-unexploited property of substitution boxes, or s-boxes, in the round function. This paper gives a brief overview of this ``overdefined system of equations’’ attack and shows how the attack may be avoided through the use of round functions that contain a variety of protection mechanisms, including combinations of operators from different algebraic groups, a circular rotation step, and substitution boxes (s-boxes) of large dimension.

ePrint: https://eprint.iacr.org/2004/110

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