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| 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 |
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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 Z4 is 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 Z4 is preliminary discussed.
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Received: 12 March 2007
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2008, Vol. 30 
