环Z_4上循环码及其二元象

Cyclic Codes over Ring Z_4 and Their Binary Images

本文介绍了一类特殊的Z4-循环码,其在映射μ下的象为二元循环码,揭示了这两类循环码的周期分布之间的关系,并给出了精确的关系式。

This paper introduces a kind of special cyclic codes over the ring Z4, whose images under the map Фμ are all binary cyclic codes. Moreover, it presents the relation of period distributions between the two kinds of cyclic codes, and establishes the exact relational formulas.