Results 31 to 40 of about 1,960 (155)
Spatially coupled quasi-cyclic quantum LDPC codes [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 We face the following dilemma for designing low-density parity-check codes (LDPC) for quantum error correction. 1) The row weights of parity-check should be large: The minimum distances are bounded above by the minimum row weights of parity-check matrices of constituent classical codes.
Hagiwara, Manabu +3 more
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Applied quasi-cyclic LDPC codes from doubly-extended RS code and cyclic MDS code
Tongxin xuebao, 2008 Based on doubly-extended RS codes and cyclic MDS codes,two construction schemes were proposed for ap-plied quasi-cyclic LDPC codes whose Tanner graph is free of 4-cycles.In the first approach,all the nonzero codewords within a doubly-extended RS code ...
ZHANG Guo-hua, WANG Xin-mei
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Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bracco, Anne Desideri +2 more
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Self-dual 2-quasi-cyclic codes and dihedral codes
Finite Fields and Their Applications, 2023 We characterize the structure of 2-quasi-cyclic codes over a finite field F by the so-called Goursat Lemma. With the characterization, we exhibit a necessary and sufficient condition for a 2-quasi-cyclic code being a dihedral code. And we obtain a necessary and sufficient condition for a self-dual 2-quasi-cyclic code being a dihedral code (if charF = 2)
Fan, Yun, Zhang, Yuchang
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Ldpc Code Construction using Randomly Permutated Copies of Parity Check Matrix [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 A construction technique is proposed for low-density parity check (LDPC) codes. It uses a base parity check matrix designed from a ran-dom or constructed construction method as Gallager or Quasi-Cyclic LDPC (QC-LDPC) codes in sequence to get codes with ...
Amr lulu, Ammar Abu-Hudrouss
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q-ary Quasi-Cyclic Codes on Matroid Theory
MATEC Web of Conferences, 2018 In this paper, rate 1/p q-ary systematic quasi-cyclic codes are constructed based on matroid theory. The relationship between the generator matrix and minimum distance d is derived. Examples and algorithm are presented.
Xiuli Li, Pengcheng Zhao, Dangsheng Zhou
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Tanner
IEEE Access, 2019 Girth plays an important role in the design of low-density parity-check (LDPC) codes. Motivated by the works on the girth of some classes of Tanner quasi-cyclic (QC) LDPC codes, e.g., Tanner (3, 5), (3, 7), (3, 11), and (5, 7) codes, we, in this paper ...
Hengzhou Xu +4 more
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Spectral Analysis of Quasi-Cyclic Product Codes [PDF]
IEEE Transactions on Information Theory, 2016 This paper considers a linear quasi-cyclic product code of two given quasi-cyclic codes of relatively prime lengths over finite fields. We give the spectral analysis of a quasi-cyclic product code in terms of the spectral analysis of the row- and the column-code.
Alexander Zeh, San Ling
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New Binary Quantum Codes Constructed from Quasi-Cyclic Codes
International Journal of Theoretical Physics, 2022 It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family of two-generator quasi-cyclic codes and derives sufficient conditions for these codes to be symplectic dual-containing.
Chaofeng Guan +3 more
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Asynchronous Physical-Layer Network Coding With Quasi-Cyclic Codes [PDF]
IEEE Journal on Selected Areas in Communications, 2015 Communication in the presence of bounded timing asynchronism which is known to the receiver but cannot be easily compensated is studied. Examples of such situations include point-to-point communication over inter-symbol interference (ISI) channels and asynchronous wireless networks.
Wang, Ping-Chung +2 more
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