A New Description of Cyclic Codes over Polynomial Residue Class Rings
Author(s): Zhang Lina, Qian Jianfa
Pages: 117-120
Year: 2006 Issue: 2
Journal: COMMUNICATION ON APPLIED MATHEMATICS AND COMPUTATION
Keyword: 循环码; 多项式剩余类环; 离散傅立叶变换;
Abstract: 在编码理论中,多项式剩余类环是非常有意义的,它已经用来构造最优频率希望序列.本文,定义了多项式剩余类环上循环码的离散傅立叶变换及Mattson-Solomon (MS)多项式,证明了多项式剩余类环上的循环码同构于多项式剩余类环的Galois扩张的理想.
Pages: 117-120
Year: 2006 Issue: 2
Journal: COMMUNICATION ON APPLIED MATHEMATICS AND COMPUTATION
Keyword: 循环码; 多项式剩余类环; 离散傅立叶变换;
Abstract: 在编码理论中,多项式剩余类环是非常有意义的,它已经用来构造最优频率希望序列.本文,定义了多项式剩余类环上循环码的离散傅立叶变换及Mattson-Solomon (MS)多项式,证明了多项式剩余类环上的循环码同构于多项式剩余类环的Galois扩张的理想.
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