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- LIU Haiyang
- Institute of Microelectronics, Chinese Academy of Sciences
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- MA Lianrong
- Department of Mathematical Sciences, Tsinghua University
抄録
<p>Given an odd prime q and an integer m ≤ q, a binary mq × q2 quasi-cyclic parity-check matrix H(m, q) can be constructed for an array low-density parity-check (LDPC) code C(m, q). In this letter, we investigate the first separating redundancy of C(m, q). We prove that H(m, q) is 1-separating for any pair of (m, q), from which we conclude that the first separating redundancy of C(m, q) is upper bounded by mq. Then we show that our upper bound on the first separating redundancy of C(m, q) is tighter than the general deterministic and constructive upper bounds in the literature. For m = 2, we further prove that the first separating redundancy of C(2, q) is 2q for any odd prime q. For m ≥ 3, we conjecture that the first separating redundancy of C(m, q) is mq for any fixed m and sufficiently large 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 E107.A (4), 670-674, 2024-04-01
一般社団法人 電子情報通信学会
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詳細情報 詳細情報について
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- CRID
- 1390018198841405184
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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
- Crossref
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- 抄録ライセンスフラグ
- 使用不可