Many block ciphers and hash functions use MDS matrices because of their optimal branch
number. On the other hand, MDS matrices generally have a high implementation cost, which …

Recursive MDS matrices are used for the design of linear diffusion layers in lightweight
cryptographic applications. Most of the works on the construction of recursive MDS matrices …

We introduce a new type of mixing layer for the round function of cryptographic
permutations, called circulant twin column parity mixer (CPM), that is a generalization of the …

The tower field implementation of the 𝔽28 inverter is not only the key technique for compact
implementations of the S-boxes of several internationally standardised block ciphers such …

Applying the maximum separable distance (MDS) matrices is one of the most common
approaches to meet diffusion layer in modern block ciphers. Using Cauchy and extensions …

基于循环移位与异或运算构造了有限域(F2 m) 4 上的一类最优线性变换P,
借鉴线性变换输入输出关系反证法的思想, 提出将最优线性变换目标问题转化为若干个递进关系 …

Compared with maximum distance separable (MDS) matrices, Near-MDS matrices which
have sub-optimal branch numbers provide better trade-offs between security and efficiency …

MDS matrices are linear layers with optimal properties. They are used in many SPN block
ciphers, and in particular in the AES standard (AES 2001). In recent years, there has been a …

随着具有最大分支数的扩散层在分组密码和hash 函数中的应用, 轻量级MDS
矩阵的构造受到广泛关注. 基于迭代构造是实现低成本MDS 矩阵的一种有效方法 …

我们利用编码理论方法, 对Fn 2 上的非线性置换(S 盒) 的差分分支数进行了分析并给出了差分
分支数上界的一般性公式. 我们根据编码理论中关于给定码长和最小距离的最大二元码码字的个 …