F_4上的3维最优自正交码  

Optimal quaternary self-orthogonal codes of dimension three

作　　者：李益群[1] 刘三阳[1] 王雷[2] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071 [2]空军工程大学理学院,陕西西安710051

出　　处：《西北大学学报（自然科学版）》2006年第6期871-874,共4页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(60573040)

摘　　要：目的研究F4上维数为3的最优(或拟最优)自正交码的码长与极小距离之间的关系。方法组合方法。结果构造出码长n≥21的3维最优(或拟最优)自正交码的生成矩阵,确定出了其中达到Griesmer界的码。结论给出了3维的最优自正交码码长与距离的规律。Aim The relations between length and minimum distance of 3 dimension optimal or near optimal quaternary self-orthogonal codes are investigated. Methods Combinatorial method is used to construct 3 dimension optimal or near optimal quaternary self-orthogonal codes for length. Results The generator matrices of such optimal or near optimal self-orthogonal codes are constructed, and the optimal self-orthogonal codes that achieve the Griesmer bound are determined. Conclusion The characterization of optimal self-orthogonal codes of dimension 3 is given.

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]