Title
Construction and decoding of OSMLD codes derived from unital and oval designs
Abstract
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
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 Mouaatamid100.34
Mohammed Lahmer200.34
Mostafa Belkasmi34818.86