On the Separating Redundancy of the Duals of First-Order Generalized Reed-Muller Codes
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- LIU Haiyang
- Institute of Microelectronics of Chinese Academy of Sciences
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- LI Yan
- Department of Applied Mathematics, China Agricultural University
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- MA Lianrong
- Department of Mathematical Sciences, Tsinghua University
説明
<p>The separating redundancy is an important property in the analysis of the error-and-erasure decoding of a linear block code. In this work, we investigate the separating redundancy of the duals of first-order generalized Reed-Muller (GRM) codes, a class of nonbinary linear block codes that have nice algebraic properties. The dual of a first-order GRM code can be specified by two positive integers m and q and denoted by R(m,q), where q is the power of a prime number and q≠2. We determine the first separating redundancy value of R(m,q) for any m and q. We also determine the second separating redundancy values of R(m,q) for any q and m=1 and 2. For ≥3, we set up a binary integer linear programming problem, the optimum of which gives a lower bound on the second separating redundancy of R(m,q).</p>
収録刊行物
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E102.A (1), 310-315, 2019-01-01
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詳細情報 詳細情報について
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- CRID
- 1390001288105541760
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- NII論文ID
- 130007541803
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- ISSN
- 17451337
- 09168508
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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