%0 Journal Article
%T GRAY IMAGES OF A CLASS OF NEGACYCLIC CODES OVER GR(4,2)<br>环GR(4,2)上一类负循环码的Gray象
%A KAI Xiaoshan ZHU Shixin
%A <br>开晓山
%A 朱士信
%J 系统科学与数学
%D 2010
%I 
%X This paper investigates the Gray images of negacyclic codes of length $2^{s}$ over $GR(4,2)$. It is proved that the Gray image of a negacyclic code of length $2^{s}$ over $GR(4,2)$ is a distance-invariant linear quasicyclic code of index 2 and length $2^{s+2}$ over $F_{4}$. The homogeneous distances of negacyclic codes of length $2^{s}$ over $GR(2^{a},m)$ in general are calculated. The homogeneous distances are used to determine the Hamming distances of the Gray images of negacyclic codes of length $2^{s}$ over $GR(4,2)$.
%K Gray map
%K Hamming distance
%K homogeneous distance
%K negacyclic codes
%K quasicyclic codes<br>Gray象
%K 汉明距离
%K 齐次距离
%K 负循环码
%K 准循环码.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=CF4ABD6C9C9026C0B1E91AB00F4CC084&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=38B194292C032A66&sid=9DC563A0FEFC04F9&eid=9D9F10A828991FA6&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=11