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Further Results on the Separating Redundancy of Binary Linear Codes
Haiyang LIU Lianrong MA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2019/10/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Coding Theory
separating matrix, separating redundancy, binary linear codes, cycle codes,
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In this letter, we investigate the separating redundancy of binary linear codes. Using analytical techniques, we provide a general lower bound on the first separating redundancy of binary linear codes and show the bound is tight for a particular family of binary linear codes, i.e., cycle codes. In other words, the first separating redundancy of cycle codes can be determined. We also derive a deterministic and constructive upper bound on the second separating redundancy of cycle codes, which is shown to be better than the general deterministic and constructive upper bounds for the codes.