Constructions of vector output Boolean functions with high generalized nonlinearity
Constructions of vector output Boolean functions with high generalized nonlinearity作者机构:Key Laboratory of Network Security and Cryptology Fujian Normal UniversityFujian 350007 China
出 版 物:《The Journal of China Universities of Posts and Telecommunications》 (中国邮电高校学报(英文版))
年 卷 期:2008年第15卷第2期
页 面:77-81页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:the National Natural Science Foundation of China (90604023) Fujian Province Young Talent Program (2006F3044) Natural Science Foundation of Fujian Province (2006J0189) the Open Funds of Key Laboratory of Fujian Province University Network Security and Cryptology (07B002) Fujian Education Department Technology Program (JA07050)
主 题:Boolean functions correlation attack generalizednonlinearity almost resilient functions
摘 要:Carlet et al. recently introduced generalized nonlinearity to measure the ability to resist the improved correlation attack of a vector output Boolean function. This article presents a construction of vector output Boolean fimctions with high generalized nonlinearity using the e-biased sample space. The relation between the resilient order and generalized nonlinearity is also discussed.