Generalized minimum distance decoding

G Forney - IEEE Transactions on Information Theory, 1966 - ieeexplore.ieee.org
We introduce a new distance measure which permits likelihood information to be used in
algebraic minimum distance decoding techniques. We give an efficient decoding algorithm, …

An improvement to generalized-minimum-distance decoding

DJ Taipale, MB Pursley - IEEE Transactions on Information …, 1991 - ieeexplore.ieee.org
… In this section, we introduce the channel model needed for our version of GMD decoding.
Earlier … Next, we develop a criterion for successful bounded distance decoding that uses vector …

Fast generalized minimum-distance decoding of algebraic-geometry and Reed-Solomon codes

R Kotter - IEEE Transactions on Information Theory, 1996 - ieeexplore.ieee.org
Generalized minimum-distance (GMD) decoding is a standard soft-decoding method for block
codes. We derive an efficient general GMD decoding scheme for linear block codes in the …

Generalized minimum distance decoding in Euclidean space: Performance analysis

D Agrawal, A Vardy - IEEE Transactions on Information Theory, 2000 - ieeexplore.ieee.org
… We define a bounded-distance decoder for as a decoding algorithm with the … the decoder
is guaranteed to decode to . Sometimes, such decoders are called bounded-distance decoders

Generalized minimum-distance decoding of Euclidean-space codes and lattices

GD Forney, A Vardy - IEEE Transactions on Information Theory, 1996 - ieeexplore.ieee.org
… multistage generalized minimumdistance (GMD) decoding of … GMD decoder using this metric
is a boundeddistance decoder … The effective error coefficient of multistage GMD decoding is …

Application of generalized minimum distance decoding to hybrid-ARQ error control

M Rice - IEEE transactions on communications, 1994 - ieeexplore.ieee.org
… In this paper, generalized minimum distance decoding was reviewed and modified to admit
retransmissions €or use in a hybrid-ARQ error control system. Performance bounds were …

On Generalized Minimum Distance decoding thresholds for the AWGN channel

C Senger, V Sidorenko, V Zyablov - arXiv preprint arXiv:0903.3204, 2009 - arxiv.org
… Our aim is to enable an algebraic hard decision Bounded Minimum Distance decoder for
a binary block code to exploit soft information obtained from the demodulator. This idea goes …

Generalized minimum distance iterative decoding of expander codes

V Skachek, RM Roth - Proceedings 2003 IEEE Information …, 2003 - ieeexplore.ieee.org
… on ZCmor’s decoder for F = GF(2), … minimum distance. The improvement is obtained by
inserting into the decoding algorithm features akin to generalized minimum distance decoding of …

A new approach to the general minimum distance decoding problem: The zero-neighbors algorithm

L Levitin, C Hartmann - IEEE transactions on information theory, 1985 - ieeexplore.ieee.org
… In this section we shall describe two different minimum distance decoding algorithms that
use the concept of zero neighbors. The first of these algorithms is based on a fundamental …

Binary message passing decoding of product codes based on generalized minimum distance decoding

A Sheikh, AG i Amat, G Liva - 2019 53rd Annual Conference on …, 2019 - ieeexplore.ieee.org
… In [15], we proposed an algorithm based on generalized minimum distance decoding (GMDD)
of the component codes. The proposed algorithm closes over 50% of the performance …