On the Separating Redundancy of Ternary Golay Codes

Haiyang LIU  Lianrong MA  Hao ZHANG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A   No.3   pp.650-655
Publication Date: 2021/03/01
Publicized: 2020/09/17
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAL2079
Type of Manuscript: LETTER
Category: Coding Theory
Keyword: 
separating redundancy,  separating matrix,  ternary Golay codes,  

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Summary: 
Let G11 (resp., G12) be the ternary Golay code of length 11 (resp., 12). In this letter, we investigate the separating redundancies of G11 and G12. In particular, we determine the values of sl(G11) for l = 1, 3, 4 and sl(G12) for l = 1, 4, 5, where sl(G11) (resp., sl(G12)) is the l-th separating redundancy of G11 (resp., G12). We also provide lower and upper bounds on s2(G11), s2(G12), and s3(G12).