Codes over a subset of octonion integers (Q889135): Difference between revisions

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+Octanary linear codes using simplicial complexes
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Latest revision as of 10:14, 6 May 2025

scientific article

Language	Label	Description	Also known as
English	Codes over a subset of octonion integers	scientific article

Statements

instance of

scholarly article

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title

Codes over a subset of octonion integers (English)

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author

Cristina Flaut

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published in

Results in Mathematics

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publication date

6 November 2015

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full work available at URL

https://arxiv.org/abs/1401.7828

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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.

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zbMATH Keywords

cyclic codes

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block codes

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integer codes

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octonian integers

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codes over Gaussian integers

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