国家自然科学基金(61170257)

作品数:7被引量:8H指数:2
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相关作者:陈媛谢涛曾祥勇陈芬朱志锋更多>>
相关机构:湖北大学湖北工程学院中国科学院南昌大学更多>>
相关期刊:《系统科学与数学》《Science China Mathematics》《湖北工程学院学报》更多>>
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Two families of Niho sequences having four-valued cross correlation with m-sequences Dedicated to Professor Yingbo Zhang on the Occasion of His 70th Birthday被引量:3
《Science China Mathematics》2017年第12期2377-2390,共14页FAN JinMei XU YunGe XIA YongBo ZENG XiangYong 
supported by National Natural Science Foundation of China (Grant No. 61170257)
For two odd integers m and s with 1≤s < m and gcd(m, s) = 1, let h satisfy h(2~s-1) ≡1(mod 2~m+ 1) and d =(h + 1)(2~m-1) + 1. The cross correlation function between a binary m-sequence of period 22~m-1 and its d-dec...
关键词:M-SEQUENCE decimation sequence correlation distribution Niho exponent exponential sum 
几类特殊形式的置换多项式
《系统科学与数学》2016年第8期1349-1357,共9页朱喜顺 陈媛 曾祥勇 
国家自然科学基金(61170257)资助课题
有限域上的置换多项式在密码学,编码理论和序列设计等领域有着广泛应用,但目前已知的置换多项式的构造还很有限.文章分别给出有限域F_(2~n)上两类形如(x^(2^i)+ηx+δ)~s+x和两类形x^r+δx^s+δ~tx的置换多项式.
关键词:有限域 置换多项式 三项式 迹函数 
一类4-差分置换的构造被引量:3
《系统科学与数学》2015年第10期1194-1208,共15页谢涛 陈媛 曾祥勇 
国家自然科学基金(61170257)和(11301161)资助课题
为了抵抗已知的攻击,用于分组密码S-盒中的多输出布尔函数应具有较好的差分性质,较高的非线性度和较高的代数次数等密码学性质.在某些分组密码中,还要求这些多输出布尔函数是有限域F2n上的置换,这里n为偶数.文章将F2n分为两个子...
关键词:4-差分置换 S-盒 CCZ等价. 
一类二次APN函数的Walsh谱
《湖北工程学院学报》2015年第3期78-81,共4页谢涛 陈芬 朱志锋 
国家自然科学基金项目(61170257)
讨论了一类二次函数的Walsh谱,借助线性化多项式的性质和等量代换技巧,将Walsh谱值的计算问题归结为一类线性化多项式的核子空间维数的求解问题,发现该二次函数的Walsh谱与Gold函数的Walsh谱相同。
关键词:WALSH谱 APN函数 二次函数 
The weight distributions of a class of non-primitive cyclic codes with two nonzeros
《Science China Mathematics》2015年第6期1285-1296,共12页ZHENG DaBin ZHOU FengLi HU Lei ZENG XiangYong 
supported by National Natural Science Foundation of China(Grant Nos.11101131 and 61170257);National Basic Research Program of China(Grant No.2013CB834203);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402)
Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the no...
关键词:primitive codes Jacobi multiplicative evaluating integer multiplicity exponential simplify details 
The t-wise intersection of relative two-weight codes
《Science China Mathematics》2014年第8期1765-1770,共6页LIU ZiHui 
supported by National Natural Science Foundation of China(Grant Nos.11171366 and 61170257)
The t-wise intersection of constant-weight codes are computed.Based on the above result,the t-wise intersection of relative two-weight codes are determined by using the finite geometric structure of relative two-weigh...
关键词:relative two-weight code t-wise intersecting constant-weight code projective subspace value function 
Permutation polynomials with low differential uniformity over finite fields of odd characteristic被引量:2
《Science China Mathematics》2013年第7期1429-1440,共12页JIA WenJie ZENG XiangYong LI ChunLei HELLESETH Tor HU Lei 
supported by National Natural Science Foundation of China(Grant Nos.61070172,10990011 and 61170257);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402);National Key Basic Research Program of China(Grant No.2013CB834203);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)
In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that t...
关键词:PERMUTATION perfect nonlinear function almost perfect nonlinear function differential uniformity 
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