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.
朱士信, 黄素娟. 环Fpm+uFpm+…+uk-1Fpm上(1+u)-常循环码的齐次距离分布[J]. 电子与信息学报, 2013, 35(11): 2579-2583.
Zhu Shi-Xin, Huang Su-Juan. The Distribution of Homogeneous Distance of (1+u)-constacyclic Codes over Fpm+uFpm+…+uk-1Fpm. , 2013, 35(11): 2579-2583.