摘要
在文献[2]中证明了线性变换群GL3(2)是汉明码A7的自同构群。文章证明了投射特殊线性群PSL2(7)(定义在有限域GF(7)上)和线性变换群GL3(2)是同构的。同时,得出了群PSL3(2)也是汉明码A7的自同构群。
It was proved that linear transformation group GL3(2) is an automorphism group of Hamming Code A- in paper [2]. In this paper, We will prove that two ranks projective special linear group PSL2(7) over finite field GF(7) and linear transformation group GL3(2) are isomorphism. Then we get a conclusion that the group PSL3(2) is also an automorphism group of Hamming code A7.
出处
《长治学院学报》
2006年第5期1-3,共3页
Journal of Changzhi University
关键词
自同构群
自正交码
自对偶码
automorphism group
self-orthogonal code
self-dualcode
