Abstract
In this paper a family of LDPC codes based on the shortened and superposed array LDPC codes is proposed for burst erasure channels. The design of constructions is based on identifying and analyzing cycles corresponding to consecutive columns in parity check matrices. The burst erasure capability of the codes, represented by \(L_{max}\), can be determined by finding such cycles. Our constructions are categorized into four classes that one of them is a burstMDS code with efficiency equal to 1. By considering a single burst erasure-correcting over burst erasure channels, the simulation results show that our constructed codes can be competed with well-known LDPC codes in comparable rates, lengths and efficiencies.
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Tadayon, M.H., Abolpour Mofrad, A. & Ferdosi, Z. On the Burst Erasure Efficiency of Array LDPC Codes. Wireless Pers Commun 83, 1313–1329 (2015). https://doi.org/10.1007/s11277-015-2451-x
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DOI: https://doi.org/10.1007/s11277-015-2451-x