通信学报Issue(8)：82-87,94,7.DOI:10.3969/j.issn.1000-436x.2013.08.011
平衡H布尔函数的相关免疫性研究
Correlation-immunity study of balanced H-Boolean functions
摘要
Abstract
As a novel definition, E-derivative was introduced to study problems that are extremely difficult to handle in the cryptographic system. By using the way of combining derivative with E-derivative and correlation-immunity of H-Boolean functions, the distribution structure of balanced H-Boolean functions were deeply analyzed, and some impor-tant results on how to determine whether or not a H-Boolean function has correlation-immunity with the relatively sim-plified method of distinguishing different structure were also obtained, which are going to play important roles in the field of cryptology and future worldwide applications. Beyond that, the problem of the most higher-order correla-tion-immunity of H-Boolean function which is also one of the most difficult unsolved problems in cryptology was solved successfully to improve the anti-attack ability of cryptosystem and ensured the secure transmission of secret information on the network effectively .关键词
H布尔函数/E-导数/相关免疫性/信息安全/密码学Key words
H-Boolean functions/E-derivative/correlation-immunity/information security/cryptology分类
信息技术与安全科学引用本文复制引用
李卫卫..平衡H布尔函数的相关免疫性研究[J].通信学报,2013,(8):82-87,94,7.基金项目
上海市优秀青年教师科研专项基金资助项目（shzf018） Foundation Item:The Excellent Youth Scholars Foundation of Shanghai (shzf018) （shzf018）
