多值逻辑函数的扩散性质

多值逻辑函数的扩散性质 The Propagation Property of Multiple-Valued Logical Functions 罗铸楷 LUO Zhu-kai 1 2 first-author 刘星宝 LIU Xing-bao 1 2 湘潭大学信息工程学院 湘潭大学信息工程学院 College of Information Engineering, Xiangtan University College of Information Engineering, Xiangtan University 湘潭大学信息工程学院,湖南,湘潭,411105 湘潭大学信息工程学院,湖南,湘潭,411105 对多值逻辑函数的扩散性进行了研究,采用多值逻辑函数的Chrestenson循环谱分别给出了满足PC（k）、PC（k）/m和EPC（k）/m的多值逻辑函数之充要条件,并给出了二次P值逻辑函数满足PC（k）/m和EPC（k）/m的充要条件. In the paper we study the propagation property of the multiple-valued logical functions. We determine a sufficient and necessary condition of the multiple-valued logical function satisfying PC（k）?PC（k）/m and EPC（m）/m by adopting the Chrestenson cyclic spectrum respectively.And therefore we give the condition of quadric multiple-valued logical functions which satisfying PC（k）/m and EPC（k）/m. 多值逻辑函数 扩散准则 谱特征 multiple-valued logical function propagation criterion spectrum characterization O141.3 国家自然科学基金资助项目（60083001）;湖南省自科基金资助项目（03JJY309） 2004-05-01 2021-04-01 5