The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4
Zhang Xia①; Zhu Shi-xin②
①Dept. of Mathematics and Physics, Hefei University, Hefei 230061, China; ②Department of Applied Mathematics, Heifei University of Technology, Hefei 230009, China
Abstract:In coding theory, it is important to study a code and the structure of codewords. In this paper, the width of a codeword on the finite ring Z4is defined which is a new mathematical character of a codeword. A number of properties on the width of codewords are presented, and two recursive algorithms for computing the width of a codeword on the finite ring Z4 are given. Finally, the relationship between the width and depth of a codeword over the ring Z4is preliminary discussed.
张 霞;朱士信. 有限环Z4上码字广度的性质及其递归算法[J]. 电子与信息学报, 2008, 30(1): 107-110 .
Zhang Xia①; Zhu Shi-xin②. The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4. , 2008, 30(1): 107-110 .