四阶拟群在密码学中的应用  

Application of Fourth Order Quasi Group in the Cryptography

作　　者：薛冠男 赵晓娜 Xue Guannan;Zhao Xiaona(Shanxi Dazhong Electronic Information Industry Group Co.,Ltd.,Taiyuan Shanxi 030024)

机构地区：[1]山西大众电子信息产业集团有限公司,山西太原030024

出　　处：《现代工业经济和信息化》2021年第9期124-125,128,共3页Modern Industrial Economy and Informationization

摘　　要：首先介绍了拟群、拉丁方、拟群字符串变换的基本概念,并介绍了拟群在Edon80中的应用,通过观察法对576个4阶拟群进行分类,随机性较好的有384个,随机性一般的有89个,随机性较差的有103个。最后对随机性较好的384个4阶拟群进行NIST随机性检测,最终259个拟群通过检测,即这259个拟群适合设计密码序列。Firstly,the basic concepts of quasi group,Latin square and quasi group string transformation are introduced,and the application of quasi group in edon80 is introduced.576 fourth-order quasi groups are classified by observation method.There are 384 with good randomness,89 with general randomness and 103 with poor randomness.Finally,the NIST randomness test is carried out on 384 fourth-order Quasigroups with good randomness,and 259 Quasigroups pass the test,that is,these 259 Quasigroups are suitable for designing cryptographic sequences.

关 键 词：拟群 拉丁方 随机性检测 

分 类 号：O152[理学—数学]