期刊论文

Luo, Jinquan

英文

IEEE Transactions on Information Theory

0018-9448

2021

67

1

130-137

10.1109/TIT.2020.3020986

Manuscript received September 28, 2019; revised May 20, 2020; accepted August 22, 2020. Date of publication September 3, 2020; date of current version December 21, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 11471008 and Grant 11871025 and in part by the Self-Determined Research Funds of CCNU from the colleges’ basic research and operation of MOE under Grant CCNU18TS028. (Corresponding author: Jinquan Luo.) Xiaolei Fang is with the School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430048, China, on leave from the Hubei Key Laboratory of Mathematical Sciences, School of Mathematics and Statistics Central China Normal University, Wuhan 430079, China (e-mail: fangxiaolei@mails.ccnu.edu.cn).

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In this paper, two criterions of MDS Euclidean self-orthogonal codes are presented. New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via the criterions. In particular, among our constructions, for large square $q$ , about $\frac {1}{8}\cdot q$ new MDS Euclidean (almost) self-dual codes over $ \mathbb {F}_{q}$ can be produced. Moreover, we can construct about $\frac {1}{4}\cdot q$ new MDS Euclidean self-orthogonal codes with different even le...