On the minimum length of quaternary linear codes of dimension five
On the minimum length of quaternary linear codes of dimension five
复制标题
五维四元线性码的最小长度
DOI：
10.1016/s0012-365x(98)00354-9
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
T. Maruta
中科院分区：
文献类型：
--
作者：
I. Landjev;T. Maruta
设nq（k, d）为在q元域上存在长度为n，维数为k，距离为d的线性码的最小整数n。本文证明了参数为[190,5,141],[239,5,178],[275,5,205],[288,5,215],[291,5,217]和[488,5,365]的四元线性码的不存在性。这给出了d = 141,142时n4（5,d）的改进下界，并确定了d = 178、205、206、215、217、218、365、366、367,368时n4（5,d）的确切值。并给出了n4（5,d）的更新表。
Let nq(k, d) be the smallest integer n for which there exists a linear code of length n, dimension k and minimum distance d, over the q-element field. In this paper we prove the nonexistence of quaternary linear codes with parameters [190,5,141], [239,5,178], [275,5,205], [288,5,215], [291,5,217] and [488,5,365]. This gives an improved lower bound of n4(5, d) for d = 141,142 and determines the exact value of n4(5,d) for d = 178, 205, 206, 215, 217, 218, 365, 366, 367, 368. The updated table of n4(5,d) is also given.