Abstract: Motivated by high-density storage needs, symbol-pair codes were introduced by Cassuto and Blaum to address channels with overlapping symbol outputs. In this paper, we present a systematic ...

Abstract: Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a ...

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Abstract: Constacyclic codes contain cyclic codes as a subclass and have nice algebraic structures. Constacyclic codes have theoretical importance, as they are connected to a number of areas of ...

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Abstract: As cyclic codes and maximum distance separable (MDS) codes, cyclic MDS codes have very nice structures and properties, which have been intensively investigated in literature due to their ...

Abstract: We compute the weight distribution of binary cyclic codes with arbitrarily many generalized Niho-type nonzeroes, where the exponents of the nonzeroes nearly form a long arithmetic ...

Abstract: Recently, deep learning has demonstrated improvements over classical decoding algorithms in various families of error-correcting codes with short to moderate block lengths. Neural decoders ...

Abstract: Transformers have recently emerged as effective neural decoders, capable of capturing complex interdependencies and delivering strong performance. Cyclic codes, including BCH codes, ...