Title :
Classification of ternary [40s+28,4] optimal self-orthogonal codes
Author :
Ma, Yuena ; Guo, Luobin ; Feng, Youqian
Author_Institution :
Coll. of Sci., Air Force Eng. Univ., Xi´´an, China
Abstract :
Based on a relationship between a generator matrix of a given code and its weight distribution, all ternary [40s+28,4,27s+18] optimal self-orthogonal codes are determined by solving systems of linear equations. Then these optimal self-orthogonal codes for s≥0 are classified, and their generator matrices and weight polynomials of these optimal self-orthogonal codes for s≥1 are also given.
Keywords :
matrix algebra; orthogonal codes; polynomials; all ternary [40s+28,4,27s+18] optimal self-orthogonal codes; generator matrix; linear equations; weight distribution; weight polynomials; Griesmer bound; classification; optimal ternary code; self-orthogonal code;
Conference_Titel :
Computer Science and Information Processing (CSIP), 2012 International Conference on
Conference_Location :
Xi´an, Shaanxi
Print_ISBN :
978-1-4673-1410-7
DOI :
10.1109/CSIP.2012.6308833
