Abstract | ||
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A construction of One-Step Majority-Logic Decodable (OSMLD) codes based on the incidence matrices of Balanced Incomplete Block Designs (BIBD) is given. In this paper, we focus on unital and oval designs which are constructed from a Projective Geometry (PG). Thus, we derive from the unital and oval designs new systematic and non-systematic OSMLD codes with rates and lengths not available with existing OSMLD codes. Simulation results show that the derived codes converge well under Iterative Threshold Decoding with an efficient trade-off between complexity and performances. |
Year | DOI | Venue |
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2018 | 10.1109/COMMNET.2018.8360280 | 2018 International Conference on Advanced Communication Technologies and Networking (CommNet) |
Keywords | Field | DocType |
One-Step Majority Logic Decodable (OSMLD) Codes,Iterative Threshold Decoding (ITD),Block Designs,Balanced Incomplete Block Designs (BIBD),Unital Designs,Oval Designs | Discrete mathematics,Unital,Matrix (mathematics),Projective geometry,Decoding methods,Mathematics | Conference |
ISBN | Citations | PageRank |
978-1-5386-4610-6 | 0 | 0.34 |
References | Authors | |
5 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Otmane El Mouaatamid | 1 | 0 | 0.34 |
Mohammed Lahmer | 2 | 0 | 0.34 |
Mostafa Belkasmi | 3 | 48 | 18.86 |