according to the generator matrix of a linear code, automorphism group is studied 摘要从线性码的生成矩阵出发,研究线性码的自同构群。
the scheme based on linear codes has the property of authority by checking the equality to prevent the third party attack 该方案基于线性码理论,可以进行验证,具有认证功能,能够防止第三方攻击。
we obtain a new general upper bound on the stopping redundancy of binary linear codes which improves the corresponding results of schwartz and vardy 设c为二元线性码,n为码长,d为极小距离,h为校验矩阵,gh为h对应的tanner图。
we give the value of the code-length n and dimension k, and the lower bound of the minimal distances of the new linear code under some particular condition 在某些情况下,我们得到了该类线性码的码长n和维数k的取值以及最小距离d的下限。
the theory of quaternary linear codes is one of the important subjects in recent ten years, which is closely related with the study on constructions and properties of binary nonlinear codes 四元线性码是经典的纠错码理论在近十年间发展起采的一个重要研究方向,它与二元非线性码的构造及研究有着紧密的联系。