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Results in Mathematics

, Volume 68, Issue 3–4, pp 345–359 | Cite as

Codes Over a Subset of Octonion Integers

Article

Abstract

In this paper, we define codes over a subset of Octonion integers. We prove that, under certain circumstances, these codes can correct up to two errors for a transmitted vector and the code rate of the codes is greater than the code rate of the codes defined on Quaternion integers.

Mathematics Subject Classification

94B15 94B05 

Keywords

Block codes cyclic codes integer codes codes over Gaussian integers 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceOvidius UniversityConstanţaRomania

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