Results 41 to 50 of about 139,133 (163)
Self-dual codes over $\mathbb{F}_5$ and $s$-extremal unimodular lattices [PDF]
arXiv, 2022 New $s$-extremal extremal unimodular lattices in dimensions $38$, $40$, $42$ and $44$ are constructed from self-dual codes over $\mathbb{F}_5$ by Construction A. In the process of constructing these codes, we obtain a self-dual $[44,22,14]$ code over $\mathbb{F}_5$. In addition, the code implies a $[43,22,13]$ code over $\mathbb{F}_5$. These codes have
arxiv
New Quasi-Cyclic Codes from Simplex Codes [PDF]
arXiv, 2006 As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many good linear codes. But quasi-cyclic codes studied so far are mainly limited to one generator (1-generator) QC codes. In this correspondence, 2-generator and 3-generator QC codes are studied, and many good, new QC codes are constructed from simplex codes.
arxiv
MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes [PDF]
arXiv, 2020 Self-dual maximum distance separable codes (self-dual MDS codes) and self-dual near MDS codes are very important in coding theory and practice. Thus, it is interesting to construct self-dual MDS or self-dual near MDS codes. In this paper, we not only give check matrices of dual codes of twisted generalized Reed-Solomon codes (TGRS codes) but also ...
arxiv
Low Power QC-LDPC Decoder Based on Token Ring Architecture
Energies, 2020 The article presents an implementation of a low power Quasi-Cyclic Low-Density Parity-Check (QC-LDPC) decoder in a Field Programmable Gate Array (FPGA) device. The proposed solution is oriented to a reduction in dynamic energy consumption.
Mateusz Kuc +2 more
doaj +1 more source
Novel construction of QC-LDPC codes with modified 2-D GRS codes
Tongxin xuebao, 2015 The construction method for QC-LDPC (quasi-cyclic low density parity-check) code with modified two-dimensional generalized reed-solomon (2-D GRS) code is proposed using the generator polynomial of GRS code,so thus the constructed code can have better ...
Ming ZHAO, Xiao-lin ZHANG
doaj +2 more sources
On homogeneous nontransitive binary perfect code [PDF]
arXiv, 2014 Studying binary perfect codes we show the existence of homogeneous nontransitive codes. Thus, as far as perfect codes are concerned, the propelinear codes are strictly contained in transitive codes, wheresas homogeneous codes form a strict subclass of transitive codes.
arxiv
Twisted Reed-Solomon Codes With One-dimensional Hull [PDF]
arXiv, 2020 The hull of a linear code is defined to be the intersection of the code and its dual. When the size of the hull is small, it has been proved that some algorithms for checking permutation equivalence of two linear codes and computing the automorphism group of a linear code are very effective in general.
arxiv
Multisource SWIPT-based coded cooperation:rate compatible codes and codeword splitting protocol
EURASIP Journal on Wireless Communications and Networking, 2020 To achieve a high reliable and energy-saving green communication, we investigate a multisource simultaneous wireless information and power transfer (SWIPT)-based coded cooperation where the relay can realize information decoding and energy harvesting ...
Shunwai Zhang, Lingjun Kong, Jun Li
doaj +1 more source
AI Coding: Learning to Construct Error Correction Codes [PDF]
arXiv, 2019 In this paper, we investigate an artificial-intelligence (AI) driven approach to design error correction codes (ECC). Classic error correction code was designed upon coding theory that typically defines code properties (e.g., hamming distance, subchannel reliability, etc.) to reflect code performance.
arxiv
Generalized Adaptive Network Coded Cooperation (GANCC): A Unified Framework for Network Coding and Channel Coding [PDF]
arXiv, 2010 This paper considers distributed coding for multi-source single-sink data collection wireless networks. A unified framework for network coding and channel coding, termed "generalized adaptive network coded cooperation" (GANCC), is proposed. Key ingredients of GANCC include: matching code graphs with the dynamic network graphs on-the-fly, and ...
arxiv