基于四元域上自正交码的4维最优码的构造  

Construction of optimal codes for 4 dimensions based on quaternary self-orthogonal code

作　　者：李益群[1] 赵学军[1] 李瑞虎[1] 王雷[1] 

机构地区：[1]空军工程大学理学院数理系,西安710051

出　　处：《计算机工程与应用》2008年第28期51-52,共2页Computer Engineering and Applications

基　　金：国家自然科学基金No.60573040;空军工程大学理学院科研基金~~

摘　　要：研究了F4上维数为4的最优(或拟最优)自正交码的码长与极小距离之间的关系,用组合方法构造出任意码长的最优(或拟最优)自正交码的生成矩阵,确定了其中达到Griesmer界的码。The relations between length and minimum distance of 4 dimensions optimal or near optimal quaternary self- orthogonal codes are investigated,the generator matrices of such random optimal or near optimal self-orthogonal codes are constructed by combinatorial method.Especially,the optimal self-orthogonal codes that achieve the Griesmer bound are determined.

关 键 词：自正交码 Griesmer界 最优码 拟最优码 

分 类 号：O157.4[理学—数学] TN919.3[理学—基础数学]