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Constructing S-boxes for Lightweight Cryptography with Feistel Structure

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8731)

Abstract

Differential uniformity and nonlinearity are two basic properties of S-boxes, which measure the resistance of S-boxes to differential and linear attack respectively. Besides these two properties, the hardware cost of S-boxes is also an important property which should be considered primarily in a limited resource environment. By use of Feistel structure, we investigate the problem of constructing S-boxes with excellent cryptographic properties and low hardware implementation cost in the present paper. Feistel structure is a widely used structure in the design of block ciphers, and it can be implemented easily in hardware. Three-round Feistel structure has been used to construct S-boxes in symmetric algorithms, such as CS-Ciper, CRYPTON and ZUC. In the present paper, we investigate the bounds on differential uniformity and nonlinearity of S-boxes constructed with three-round Feistel structure. By choosing suitable round functions, we show that for odd k, differential 4-uniform S-boxes over \(\mathbb{F}_{2^{k}}^2\) with the best known nonlinearity can be constructed via three-round Feistel structure. Some experiment results are also given which show that optimal 4-bit S-boxes can be constructed with 4 or 5 round unbalanced Feistel structure.

Keywords

lightweight cryptography S-boxes Feistel structure differential uniformity nonlinearity 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.The State Key Laboratory of Information Security, Institute of Information EngineeringChinese Academy of SciencesBeijingChina

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