检索结果-南通市图书馆

A Construction of Maximal Linearly Independent Array

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2010年第7期26卷 1331-1344页

作者： Jun Wu DONG Xue Li WANG College of Mathematics and Econometrics Hu'nan University Changsha 410082 P. R. China College of Mathematics and Information Science Guangzhou University Guangzhou 510006 P. R. China School of Mathematical Sciences South China Normal University Guangzhou 510631 P. R. China

Let M be a subset of r-dimensional vector space Vτ （F2） over a finite field F2, consisting of n nonzero vectors, such that every t vectors of M are linearly independent over F2. Then M is called （n, t）-linearly independent array of length n over Vτ（F2）. The （n, t）-linearly independent array M that has the maximal number of elements is called the maximal （r, t）-linearly independent array, and the maximal number is denoted by M（r, t）. It is an interesting combinatorial structure, which has many applications in cryptography and coding theory. It can be used to construct orthogonal arrays, strong partial balanced designs. It can also be used to design good linear codes, In this paper, we construct a class of maximal （r, t）-linearly independent arrays of length r ＋ 2, and provide some enumerator theorems.

关键词： maximal linearly independent array orthogonal array hamming weight

A Note on m-weights of Linear Codes

在线全文

学校读者我要写书评

暂无评论

Wuhan University Journal of Natural Sciences 2005年第3期10卷 481-484页

作者： YUANYuan FANYun SchoolofMathematicsandStatistics WuhanUniversity.Wuhan430072HubeiChina

m-weight, as a new generalization of classical hamming weight, was discussedin this paper. A condition for the existence of linear codes of certain m-weights was given; theSingleton bound, Plotkin bound and Sphere Par... 详细信息

关键词： hamming weight m-weight linear codes

A Proof for the Nonexistence of Some Homogeneous Bent Functions

在线全文

学校读者我要写书评

暂无评论

Wuhan University Journal of Natural Sciences 2005年第3期10卷 504-506页

作者： MENGQing-shu ZHANGHuan-guo QINZhong-ping WANGZhang-yi SchoolofComputer WuhanUniversityWuhan430072HubeiChina SchoolofSoftware HuazhongUniversityotScienceandTechnologyWuhan430074HubeiChina

By the relationship between the first linear spectra of a function at partialpoints and the hamming weights of the sub-functions, and by the hamming weight of homogenousBoolean function, it is proved that there exist ... 详细信息

关键词： homogeneous bent functions Walsh transformation hamming weight

A MICROPAYMENT SCHEME BASED ON weightED MULTI-DIMENSIONAL HASH CHAIN

在线全文

学校读者我要写书评

暂无评论

Journal of Electronics(China) 2006年第5期23卷 791-794页

作者： Liu Yining Hu Lei Liu Heguo Faculty of Mathematics and Computer Sciences Hubei University Wuhan 430062 China State Key Laboratory of Information Security Graduate School of the Chinese Academy of Sciences Beijing 100049 China School of Mathematics and Physics China University of Geoscience Wuhan 430074 China

Hash chain and its generalization—Multi-Dimensional Hash Chain (MDHC) have been widely used in the design of micropayment due to its simplicity and efficiency. In this letter, a more efficient variant of MDHC, called WMDHC, which endows in the structure of MDHC a weight value for each hash value through a well-defined mapping, is proposed. The average hash operation number of WMDHC is log(2 m / t ),which is better than log( m )of MDHC when the parameter t is typically suggested as t = 7.

关键词： Micropayment Multi-Dimensional flash Chain (MDHC) hamming weight

Linear Error Equation on Field F_2

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2007年第4期22卷 518-522页

作者： XIA Jian-guo Department of Applied Mathematics Tongji University Shanghai 200092 China

In this paper, we will give a method to solve linear error equationon on F2, by using linear algebra on fields F2 and partition theory.

关键词： error equation permutation matrix hamming weight