The ABCs of linear block codes

B Sklar, FJ Harris - IEEE signal processing magazine, 2004 - ieeexplore.ieee.org
… such coding methods: block and convolutional. For this tutorial, we focus on linear block codes
because they provide much … In the case of block codes, the decoder looks for errors and, …

On the probability of undetected error for linear block codes

J Wolf, A Michelson, A Levesque - IEEE Transactions on …, 1982 - ieeexplore.ieee.org
… of all nonbinary linear block codes is … codes. Several bounds on the undetected error
probability are then presented. We conclude with detailed examples of binary and nonbinary codes

A new linear programming approach to decoding linear block codes

K Yang, X Wang, J Feldman - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
… terize the structure of any linear block codes and offers insight into … linear codes. Second,
we show that, under the new LP formulation, the fractional distance of any linear block code

On the BCJR trellis for linear block codes

RJ McEliece - IEEE Transactions on Information Theory, 1996 - ieeexplore.ieee.org
… problem of representing a given linear block code by a trellis. We … representing a given
binary linear block code C has the … words in a binary linear block code C by the paths in a trellis, …

RNN decoding of linear block codes

E Nachmani, E Marciano, D Burshtein… - arXiv preprint arXiv …, 2017 - arxiv.org
… powerful algebraic codes with short to moderate block length is … architecture for decoding
linear block codes. Our method … Tanner graph representations of the codes. Furthermore, we …

Linear block codes over cyclic groups

G Caire, E Biglieri - IEEE Transactions on Information Theory, 1995 - ieeexplore.ieee.org
… Construction (1) motivates the study of codes defined over a group, ie, the subgroups of GI.
… trellis and block codes, respectively. In this paper we investigate the structure of block codes

Dimension/length profiles and trellis complexity of linear block codes

GD Forney - IEEE Transactions on information theory, 1994 - ieeexplore.ieee.org
… A linear block code C may be regarded as (the set of output sequences of) a time-varying
linear dynamical system, provided that its index set I has a definite order. Without loss of …

Linear block codes

L Litwin, K Ramaswamy - IEEE Potentials, 2001 - ieeexplore.ieee.org
The article discusses systematic cyclic linear block codes. A block code uses an encoder that
accepts a block of message symbols, and generates a block of code word symbols at the …

Efficient maximum likelihood decoding of linear block codes using a trellis

J Wolf - IEEE Transactions on Information Theory, 1978 - ieeexplore.ieee.org
… formulation which holds for all linear block codes. We then consider the case of cyclic
linear codes. Finally, we consider product codes and show that, for such codes, the number of …

Soft-decision decoding of linear block codes based on ordered statistics

MPC Fossorier, S Lin - IEEE Transactions on information …, 1995 - ieeexplore.ieee.org
… decision decoding for binary linear block codes. The basic … For short codes of lengths Y <
32 or medium codes with 32 < ,… codewords, where A' is the dimension of the code. For longer …