Ensembles of regular low-density parity-check codes over any finite Abelian group G are studied. The nonzero entries of the parity matrix are randomly chosen, independently and uni...
Toric codes are obtained by evaluating rational functions of a nonsingular toric variety at the algebraic torus. One can extend toric codes to the so called generalized toric code...
Minimum-entropy decoding is a universal decoding algorithm used in decoding block compression of discrete memoryless sources as well as block transmission of information across di...
Abstract— This paper proposes distance-enhancing constrained codes for optical recording channels. The repeated minimum transition runlength (RMTR) constraints are first investi...
— A special kind of symbol-wise puncturing is applied to the code symbols of a constituent trellis coded modulation (TCM) within two very bandwidth-efficient concatenated coding...