Gray code is a systematic ordering of binary numbers in a way that each successive value differs from the previous one in ...

Abstract: Iterative decoding algorithms based on the alternating direction method of multipliers (ADMM) decoding of low density parity check (LDPC) codes has emerged as an alternating decoding method ...

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Abstract: Pseudocodewords, and in particular minimal pseudocodewords, play an important role in understanding the performance of linear programming (LP) decoding. In this paper, we investigate minimal ...