【摘要】 从线性码的生成矩阵出发 ,研究线性码的自同构群 .给出了通过求解可逆矩阵构成的一般线性群 ,获得线性码的自同构群的方法 ,并利用矩阵广义逆理论 ,对线性码的自同构群进行进一步刻划 .所获得的结论对线性码的自同构群的理论研究与实际计算 ,对译码算法和密码体制的设计具有基础性意义 .更多还原

【Abstract】 According to the generator matrix of a linear code,automorphism group is studied.Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices,and it is illustrated by matrices generalized inverses.The results play an important role for the theorerical study and calculation of automorphism group,also for design of decoding algorithm and cryptography system.更多还原