关于任意有限域上基于平移的密码轮函数生成的群
群论
2016-11-11 v2
摘要
我们定义了任意有限域上基于平移的密码，并研究了由此类密码的轮函数生成的置换群。我们表明，在某些密码学假设下，该群是本原的。此外，对我们假设的轻微加强使我们能够证明该群是对称群或交错群；这改进了特征为二情况下的先前结果。
引用
@article{arxiv.1305.1821,
title = {On the group generated by the round functions of translation based ciphers over arbitrary finite fields},
author = {R. Aragona and A. Caranti and F. Dalla Volta and M. Sala},
journal= {arXiv preprint arXiv:1305.1821},
year = {2016}
}
备注
Extensive revision, including fixing a mistake concerning the blocks of imprimitivity