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A class of generalized cyclic codes

A class of generalized cyclic codes In this paper, we discuss how to construct a class of generalized cyclic codes, denoted by GCC. It is well known that a cyclic code is generated by a factor ofx n-1. Clearly, any monic polynomialg(x) with degree less thann could be considered as a factor of some polynomial of degreen. Similarly the construction of cyclic codes, we explain howg(x) can generate a GCC. Meanwhile, as related to cyclic codes, experiments show that GCC can always produce a better parameter and/or give more linear codes. On the basis the of concept of GCC, we can also construct a linear code of [90,76,5]2. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A class of generalized cyclic codes

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References (20)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02670964
Publisher site
See Article on Publisher Site

Abstract

In this paper, we discuss how to construct a class of generalized cyclic codes, denoted by GCC. It is well known that a cyclic code is generated by a factor ofx n-1. Clearly, any monic polynomialg(x) with degree less thann could be considered as a factor of some polynomial of degreen. Similarly the construction of cyclic codes, we explain howg(x) can generate a GCC. Meanwhile, as related to cyclic codes, experiments show that GCC can always produce a better parameter and/or give more linear codes. On the basis the of concept of GCC, we can also construct a linear code of [90,76,5]2.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 7, 2007

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