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SELF-ORTHOGONAL CODES FROM SOME BUSH-TYPE HADAMARD MATRICES

从一些灌木丛类型 Hadamard 矩阵的自我直角的代码

作     者:Crnkovic, Dean Rodrigues, B. G. 

作者机构:Univ Rijeka Dept Math Rijeka 51000 Croatia Univ KwaZulu Natal Sch Math Sci ZA-4041 Durban South Africa 

出 版 物:《QUAESTIONES MATHEMATICAE》 (数学问题)

年 卷 期:2013年第36卷第3期

页      面:341-352页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Ministry of Science, Education and Sports, Republic of Croatia [319-0000000-3037] NRF 

主  题:Self-orthogonal code Bush-type Hadamard matrix symmetric design 

摘      要:By means of a construction method outlined by Harada and Tonchev, we determine some non-binary self-orthogonal codes obtained from the row span of orbit matrices of Bush-type Hadamard matrices that admit a fixed-point-free and fixed-block-free automorphism of prime order. We show that the code [20, 15, 4](5) obtained from a (100, 45, 20) design is optimal, and those with parameters [36, 21, 6](3) and [20, 14, 4](5) obtained from a (36, 15, 6) and a (100, 45, 20) design respectively, are near-optimal for the given length and dimension. Furthermore, we obtained a conjecturally optimal self-dual doubly-even [72, 36, 12](2) code, and examined the code of an orbit matrix of a putative (676, 325, 156) design.

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