%0 Journal Article %T (1+u+u2)-cyclic codes over F2+uF2+u2F2
环F2+uF2+u2F2上的(1+u+u2)—循环码* %A YU Hai-feng %A ZHU Shi-xin %A
余海峰 %A 朱士信 %J 计算机应用研究 %D 2010 %I %X This paper defined a new Gray map between codes over F2+uF2+u2F2 and codes over F2. By means of this map, it shown that the Gray image of a linear (1+u+u2)-cyclic code over F2+uF2+u2F2 is a binary-distance-invariant linear cyclic code. Furthermore, if n=3(mod 4), obtained the generator polynomial of the Gray images of (1+u+u2)-cyclic codes. It is significant to construct new good codes. %K isometric map %K cyclic codes %K generator polynomial
等距映射 %K 循环码 %K 生成多项式 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=A9D9BE08CDC44144BE8B5685705D3AED&aid=2C71DD27435AC628D185ACE1CD5FAB1B&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=94C357A881DFC066&sid=2361597FE1CEC89F&eid=B1F4011810AAA181&journal_id=1001-3695&journal_name=计算机应用研究&referenced_num=0&reference_num=12