Visible to the public Local Constraint-Based Ordered Statistics Decoding for Short Block Codes

TitleLocal Constraint-Based Ordered Statistics Decoding for Short Block Codes
Publication TypeConference Paper
Year of Publication2022
AuthorsWang, Yiwen, Liang, Jifan, Ma, Xiao
Conference Name2022 IEEE Information Theory Workshop (ITW)
Keywordsblock codes, coding theory, Complexity theory, composability, compositionality, Conferences, cryptography, Decoding, List Viterbi decoding, Metrics, ordered statistics decoding, pubcrawl, resilience, Resiliency, security, short block codes, simulation, Upper bound, URLLC, Viterbi algorithm
AbstractIn this paper, we propose a new ordered statistics decoding (OSD) for linear block codes, which is referred to as local constraint-based OSD (LC-OSD). Distinguished from the conventional OSD, which chooses the most reliable basis (MRB) for re-encoding, the LC-OSD chooses an extended MRB on which local constraints are naturally imposed. A list of candidate codewords is then generated by performing a serial list Viterbi algorithm (SLVA) over the trellis specified with the local constraints. To terminate early the SLVA for complexity reduction, we present a simple criterion which monitors the ratio of the bound on the likelihood of the unexplored candidate codewords to the sum of the hard-decision vector's likelihood and the up-to-date optimal candidate's likelihood. Simulation results show that the LC-OSD can have a much less number of test patterns than that of the conventional OSD but cause negligible performance loss. Comparisons with other complexity-reduced OSDs are also conducted, showing the advantages of the LC-OSD in terms of complexity.
DOI10.1109/ITW54588.2022.9965916
Citation Keywang_local_2022