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Codes over a subset of Octonion Integers

2014/01/30 by Cristina Flaut, Flaut, Cristina
Computer Science · Mathematics · #94B05 #94B15 #Algebraic and Geometric Analysis #Coding theory and cryptography #FOS: Computer and information sciences #Finite Group Theory Research #Information Theory (cs.IT) #cs.IT #math.IT #msc:94B05 #msc:94B15

paper · pdf · doi:10.48550/arxiv.1401.7828

arxiv created 2014/01/30 · openalex publication_date 2014/01/30 · arxiv updated 2014/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we define codes over some Octonion integers. We prove that in some conditions these codes can correct up to two errors for a transmitted vector and the code rate of the codes is grater than the code rate of the codes defined on some subset of Quaternion integers.

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