环Fpm+uFpm++uk-1Fpm上(1+u)-常循环码的齐次距离分布
doi: 10.3724/SP.J.1146.2013.00274
The Distribution of Homogeneous Distance of (1+u)-constacyclic Codes over Fpm+uFpm++uk-1Fpm
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摘要: 该文研究了环Rk=Fpm+uFpm++uk-1Fpm上任意长的(1+u)-常循环码的齐次距离分布。首先，介绍了环Rk上给定长度的(1+u)-常循环码的挠码。然后利用挠码得到环Rk上任意长度的(1+u)-常循环码的齐次距离的界，并给出了Rk上某些(1+u)-常循环码的齐次距离的准确值。Abstract: In this paper, the distribution of homogeneous distance of (1+u)-constacyclic codes over the ring Rk=Fpm+uFpm++uk-1Fpmof arbitrary lengths is studied. Firstly, the torsion codes of a (1+u)-constacyclic code overRk for a given length are introduced. Then, by using the torsion codes, a bound for the homogeneous distance of (1+u)-constacyclic codes overRk of any length is given. The exact homogeneous distance of some (1+u)-constacyclic codes over Rk is also obtained.
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Key words:
- Constacyclic codes /
- Torsion codes /
- Homogeneous distance
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