Codes over a subset of octonion integers
type: Item
instance of: scholarly article
title: Codes over a subset of octonion integers
zbMATH Open document ID: 1401.94228
author: Cristina Flaut
published in: Results in Mathematics
publication date: 2015-11-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1401.7828
review text: Block Codes over subsets of the octonion integers have been defined in this paper and decoding algorithms for these codes have been given. The alphabets considered are quotients of the subset of octonion integers. Two code constructions one for one error correcting block codes and the second for double error correcting codes have been presented. It is noted that the code rate in the octonions case can be better than in the Hurwitz case.
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 6505278
zbMATH Keywords: cyclic codes
zbMATH Keywords: block codes
zbMATH Keywords: integer codes
zbMATH Keywords: octonian integers
zbMATH Keywords: codes over Gaussian integers
reviewed by: Bai Kishan Dass
MaRDI profile type: Publication
OpenAlex ID: W2122724219
arXiv ID: 1401.7828
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DOI: 10.1007/S00025-015-0442-6
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description: scientific article