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Garrammone, Giuliano and Declercq, David and Fossorier, Marc (2017) Weight Distributions of Non-Binary Multi-Edge Type LDPC Code Ensembles: Analysis and Efficient Evaluation. IEEE Transactions on Information Theory. IEEE - Institute of Electrical and Electronics Engineers. doi: 10.1109/TIT.2016.2647724. ISSN 0018-9448.
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Abstract
Non-binary multi-edge type ensembles of lowdensity parity-check codes are analyzed in terms of non-binary codeword weight distribution and its growth rate. In particular, an exact expression of the growth rate for small weights is developed. As a side result, the stopping set distributions of these ensembles are developed. Examples of weight distributions are provided, showing that the derived closed form expressions can be easily evaluated. The obtained results can thus be exploited to analyze and design non-binary low-density parity-check codes that fall within the multi-edge type framework such as, but not limited to, protograph-based codes.
| Item URL in elib: | https://elib.dlr.de/110421/ | ||||||||||||||||
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| Document Type: | Article | ||||||||||||||||
| Title: | Weight Distributions of Non-Binary Multi-Edge Type LDPC Code Ensembles: Analysis and Efficient Evaluation | ||||||||||||||||
| Authors: |
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| Date: | 1 January 2017 | ||||||||||||||||
| Journal or Publication Title: | IEEE Transactions on Information Theory | ||||||||||||||||
| Refereed publication: | Yes | ||||||||||||||||
| Open Access: | No | ||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||
| In SCOPUS: | Yes | ||||||||||||||||
| In ISI Web of Science: | Yes | ||||||||||||||||
| DOI: | 10.1109/TIT.2016.2647724 | ||||||||||||||||
| Publisher: | IEEE - Institute of Electrical and Electronics Engineers | ||||||||||||||||
| ISSN: | 0018-9448 | ||||||||||||||||
| Status: | Published | ||||||||||||||||
| Keywords: | protographs, LDPC codes, codeword weight distributions, stopping set distributions, Galois fields | ||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||
| HGF - Program: | Space | ||||||||||||||||
| HGF - Program Themes: | Communication and Navigation | ||||||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||||||
| DLR - Program: | R KN - Kommunikation und Navigation | ||||||||||||||||
| DLR - Research theme (Project): | R - Vorhaben Multimedia Satellitennetze (old) | ||||||||||||||||
| Location: | Oberpfaffenhofen | ||||||||||||||||
| Institutes and Institutions: | Institute of Communication and Navigation > Satellite Networks | ||||||||||||||||
| Deposited By: | Liva, Dr. Gianluigi | ||||||||||||||||
| Deposited On: | 11 Jan 2017 09:52 | ||||||||||||||||
| Last Modified: | 08 Mar 2018 18:35 |
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