A Note on Rotation Symmetric S-boxes
A Note on Rotation Symmetric S-boxes
复制标题
关于旋转对称 S 盒的注记
DOI：
10.1007/s11424-019-7263-8
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发表时间：
2019
影响因子：
2.1
通讯作者：
Liu Wenfen
中科院分区：
文献类型：
--
作者：
Gao Guangpu;Lin Dongdai;Liu Wenfen
本文件具有双重意义。第一部分研究了Gao G等人提出的一类二次旋转对称S盒（RSSB），二次和三次旋转对称bent函数的构造，IEEE信息理论学报，第58卷，第7期，第110页。4908-4913，2012，通过分解一类立方旋转对称bent函数。得到了这类S盒的非线性性和微分一致性。特别地，还提出了旋转对称S盒类的成分反演。然后，作者介绍了一种最速下降类搜索算法的生成RSSB。该算法发现了5、6、7、8位的具有很好密码学性质的RSSB，这些RSSB可用于设计密码算法。
This paper is twofold. The first is devoted to study a class of quadratic rotation symmetric S-boxes (RSSBs) which was presented by Gao G, et al., Constructions of quadratic and cubic rotation symmetric bent functions,IEEE Transactions on Information Theory, vol. 58, no. 7, pp. 4908–4913, 2012, by decomposing a class of cubic rotation symmetric bent functions. The authors obtain its nonlinearity and differential uniformity of such class of S-boxes. In particular, the compositional inversion of the class of rotation symmetric S-boxes is also presented. Then the authors introduce a steepest-descent-like search algorithm for the generation of RSSBs. The algorithm finds 5,6,7,8-bit RSSBs with very good cryptographic properties which can be applied in designing cryptographical algorithms.