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Construction of low-density parity-check codes based on balanced incomplete block designs

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<mark>Journal publication date</mark>06/2004
<mark>Journal</mark>IEEE Transactions on Information Theory
Issue number6
Volume50
Number of pages12
Pages (from-to)1257-1268
Publication statusPublished
Original languageEnglish

Abstract

This correspondence presents a method for constructing structured regular low-density parity-check (LDPC) codes based on a special type of combinatoric designs, known as balance incomplete block designs. Codes constructed by this method have girths at least 6 and they perform well with iterative decoding. Furthermore, several classes of these codes are quasi-cyclic and hence their encoding can be implemented with simple feedback shift registers.