S-Boxes from Binary Quasi-Cyclic Codes

Abstract

In this paper we present a construction for S-boxes using quasi-cyclic codes. We obtain S-boxes with good nonlinearity.

Bijective S-boxes of different sizes obtained from quasi-cyclic codes

“…Remark 3.3. In our paper [3] we considered only the first construction technique and its application only in the case of 8 × 8 S-boxes. Now we extend our study to more construction methods with applications to bijective S-boxes of sizes 4,6,8,9,10,11,12,14,15,16 and 18.…”