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Construction of low density parity check codes: a combinatoric design approach

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Abstract

This paper presents a method for constructing low density parity check (LDPC) codes based on a special type of combinatoric designs, known as the balanced incomplete block designs (BIBDs). Several classes of BIBDs suitable for constructing LDPC codes are presented. Codes constructed based on these classes of BIBDs perform well with iterative decoding.