Weight enumerators of high-rate convolutional codes based on the Hamming code
type: Item
instance of: scholarly article
title: Weight enumerators of high-rate convolutional codes based on the Hamming code
zbMATH Open document ID: 0736.94010
published in: Problems of Information Transmission
publication date: 1992-06-26T00:00:00Z
review text: The author considers a class of rate \((n-1)/n\;(n=2^ r,\;r=1,2,\dots)\) binary convolutional codes with free distance \(d_ f=3\) and derives a method for the calculation of their spectra. Moreover she shows that the codes of this class are equivalent to punctured convolutional codes having constraint length \(\leq r+1\) and allow maximum likelihood decoding with complexity of order \(2^{r+1}\).
Mathematics Subject Classification ID: 94B10
zbMATH DE Number: 20609
zbMATH Keywords: Hamming code
zbMATH Keywords: binary convolutional codes
zbMATH Keywords: spectra
zbMATH Keywords: maximum likelihood decoding
author: Irina E. Bocharova
reviewed by: Ludwig Staiger
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 20609