多输出相关免疫逻辑函数的等价刻划及其应用
Equivalent characterization and application of multi-output correlation-immune boolean function
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摘要: 该文对多输出逻辑函数相关免疫性的两种刻划进行了讨论,在利用Walsh变换理论导出二元随机向量概率分布分解式的基础上,证明了两种刻划的等价性,并利用多输出相关免疫逻辑函数构造了一类不具有输入输出线性组合符合优势的密钥流生成器。Abstract: This paper discusses the characterizations of multi-output correlation-immune functions. We first give a decomposition formula of the probability distribution of binary random vectors by using Walsh transform. Then the equivalence of the two different definitions of multi-output correlation-immune functions is proved. Furthermore, a class of keystream generators is constructed which can resist the linear and correlation attacks.
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丁存生,肖国镇,流密码学及其应用,北京,国防工业出版社,1994,169-173.[2]K. Gopalakrishnan, D. R. Stinson, Three charaterizations of non-binary correlation-immune andresilient functions, Designs, Codes and Cryptography, 1995, 5(3), 241-251.[3]陈鲁生,多输出布尔函数的密码学性质,[博士论文],天津,南开大学,2000. -
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