On the algebraic construction of cryptographically good 32×32 binary linear transformations

作者：

Highlights：

• A new algebraic method to construct cryptographically good 32×32 binary matrices.

• How to construct 32×32 involutory binary matrices of branch number 12.

• To construct non-involutory binary matrices of branch number 11 with a fixed point.

摘要

•A new algebraic method to construct cryptographically good 32×32 binary matrices.•How to construct 32×32 involutory binary matrices of branch number 12.•To construct non-involutory binary matrices of branch number 11 with a fixed point.

论文关键词：Cryptography,Block cipher,Binary linear transformation,Branch number,Fixed points,Finite fields

论文评审过程：Received 25 November 2012, Revised 5 May 2013, Available online 23 May 2013.

论文官网地址：https://doi.org/10.1016/j.cam.2013.05.008