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| The Distribution of Homogeneous Distance of (1+u)-constacyclic Codes over Fpm+uFpm+…+uk-1Fpm |
| Zhu Shi-xin Huang Su-juan |
| School of Mathematics, Hefei University of Technology, Hefei 230009, China |
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Abstract In this paper, the distribution of homogeneous distance of (1+u)-constacyclic codes over the ring Rk=Fpm+uFpm+…+uk-1Fpm of arbitrary lengths is studied. Firstly, the torsion codes of a (1+u)-constacyclic code over Rk for a given length are introduced. Then, by using the torsion codes, a bound for the homogeneous distance of (1+u)-constacyclic codes over Rk of any length is given. The exact homogeneous distance of some (1+u)-constacyclic codes over Rk is also obtained.
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Received: 07 March 2013
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Corresponding Authors:
Huang Su-juan
E-mail: huangsujuan1019@163.com
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2013, Vol. 35 
