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Codes Over a Subset of Octonion Integers

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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.

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  1. Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527, Constanţa, Romania

    Cristina Flaut

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  1. Cristina Flaut
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Correspondence to Cristina Flaut.

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Flaut, C. Codes Over a Subset of Octonion Integers. Results. Math. 68, 345–359 (2015). https://doi.org/10.1007/s00025-015-0442-6

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  • DOI: https://doi.org/10.1007/s00025-015-0442-6

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