The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4

Zhang Xia; Zhu Shi-xin

doi:10.3724/SP.J.1146.2007.00338

Volume 30 Issue 1

Jan. 2011

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Zhang Xia, Zhu Shi-xin. The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4[J]. Journal of Electronics & Information Technology, 2008, 30(1): 107-110. doi: 10.3724/SP.J.1146.2007.00338

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Zhang Xia, Zhu Shi-xin. The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4[J]. Journal of Electronics & Information Technology, 2008, 30(1): 107-110. doi: 10.3724/SP.J.1146.2007.00338

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The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4

doi: 10.3724/SP.J.1146.2007.00338 cstr: 32379.14.SP.J.1146.2007.00338

Received Date: 2007-03-12
Rev Recd Date: 2007-09-17
Publish Date: 2008-01-19

Abstract

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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References

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