On the design of S-box constructions with genetic programming

Stjepan Picek, Domagoj Jakobović · Proceedings of the Genetic and Evolutionary Computation Conference Companion · 2019

In this paper, we try to combine the best from the world of heuristics and algebraic constructions for the design of S-boxes: we evolve algebraic constructions that produce S-boxes with as low as possible differential uniformity. Our approach is novel yet very simple and is allowing us to obtain constructions valid for any S-box size of practical interest.

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