IEEE

Quasi-cyclic ldpc code design for block-fading channels

Abstract: We investigate quasi-cyclic low-density parity-check (QC-LDPC) codes for nonergodic block-fading channels. A construction method for designing QC-LDPC codes is presented. With careful design ...
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IEEE

On a Question of Cyclic Codes With Generalized Niho-Type Nonzeroes

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 ...
IEEE

Rate-Compatible Length-Scalable Quasi-Cyclic Spatially-Coupled LDPC Codes

Abstract: The capability of QC-SC-LDPC codes to be employed in broadcasting systems has been studied in previous research. However, the implementation-oriented features such as rate-compatibility and ...
IEEE

Two Classes of Reducible Cyclic Codes With Large Minimum Symbol-Pair Distances

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 ...
IEEE

Structural Analysis of Generalized Quasi-Cyclic LDPC Codes: Rank, Design and Generator Matrices

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 ...
IEEE

Griesmer Bound and Constructions of Linear Codes in b-Symbol Metric

Abstract: The b-symbol metric is a generalization of the Hamming metric. Linear codes in the b-symbol metric have been used in the read channel whose outputs consist of b consecutive symbols. The ...
IEEE

McEliece Public-Key Cryptosystem Based on Cyclic Codes

Abstract: The McEliece public key cryptosystem is known for its resistance to quantum attacks. However, its application potential remains limited due to challenges such as large key size and low ...
IEEE

Low-Complexity Neural Belief Propagation Decoding Algorithm Based on Tensor Ring Decomposition

Abstract: Neural belief propagation (NBP) decoding can improve the performance of belief propagation (BP) decoding for high-density parity check (HDPC) codes, at the expense of higher memory storage ...
IEEE

Perturbed Derivative Decoding Based on Ordered Statistics for Cyclic Codes

Perturbed Derivative Decoding Based on Ordered Statistics for Cyclic Codes Publisher: IEEE ...
IEEE

Non-Reed-Solomon Type Cyclic MDS Codes

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 ...
IEEE

Generalized Quasi-Cyclic LDPC Codes: Design and Efficient Encoding

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 ...