Optimal S-boxes based on 3-quasigroups of order 4
In this paper,we give a method for generating cryptographically strong 4×4-bit S-boxes with the pure non-linear representatives of 3-quasigroup of order 4.S-boxes are widely used in block ciphers and hash functions and they are usually the only non-linear part in the systems and they have to be chosen carefully.4×4-bit S-boxes are very suitable in the design of lightweight cryptographies,while the constructing of 4×4-bit S-boxes are usually by exhaustive computer search of permutations of degree 16.Our methodology is based on 3-quasigroup operations and it enables someone to get S-boxes optimal in linearity and differential uniformity,and all the component functions(algebraic normal form)of the generated S-boxes have maximal algebraic degrees.
S-Box 3-Quasigroup Latin Cube Algebraic Normal Form
Zhengping Yu Yunqing Xu
Department of Mathematics,Ningbo University,Ningbo 315211,China
国际会议
郑州
英文
1-9
2017-04-29（万方平台首次上网日期，不代表论文的发表时间）