Division algebras, Galois fields, quadratic residues

DOI10.1023/A:1005823419086zbMATH Open0909.17002arXivhep-th/9302113OpenAlexW3005826248MaRDI QIDQ1383857

Geoffrey Dixon

Publication date: 8 April 1999

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Abstract: Intended for mathematical physicists interested in applications of the division algebras to physics, this article highlights some of their more elegant properties with connections to the theories of Galois fields and quadratic residues.

Full work available at URL: https://arxiv.org/abs/hep-th/9302113

zbMATH Keywords

division algebrasoctonionsGalois fieldsoctonion algebrasGalois sequencesquadratic residue class codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite fields (field-theoretic aspects) (12E20) Arithmetic codes (94B40) Nonassociative division algebras (17A35)

Related Items (6)

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