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Improving Asymptotic Properties of Loop Construction of SC-LDPC Chains Over the BEC | IEEE Journals & Magazine | IEEE Xplore

Improving Asymptotic Properties of Loop Construction of SC-LDPC Chains Over the BEC


Abstract:

Single SC-LDPC chains are known to provide protographs of SC-LDPC codes. These chains can be connected together and create new constructions which provide multi-dimension...Show More

Abstract:

Single SC-LDPC chains are known to provide protographs of SC-LDPC codes. These chains can be connected together and create new constructions which provide multi-dimensional (MD) SC-LDPC codes. The loop is one of the most important constructions that has been introduced so far. We propose a new method to construct code ensembles that are based on a combination of the small single chains and the loop construction. The numerical results show that our new ensembles have better iterative decoding thresholds and lower decoding complexity required to achieve a specific bit erasure probability than the single chain ensembles and the loop ensembles in a wide range of rates over the BEC. Moreover, similar to the single chain and the loop ensembles, the new ensembles are asymptotically good in terms of minimum distance.
Published in: IEEE Communications Letters ( Volume: 26, Issue: 3, March 2022)
Page(s): 495 - 499
Date of Publication: 24 December 2021

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