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Author Unger, Thomas ♦ Markin, Nadya
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-07-01
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics
Subject Keyword Computer Science - Information Theory ♦ cs ♦ math
Abstract In the context of space-time block codes (STBCs), the theory of generalized quaternion and biquaternion algebras (i.e., tensor products of two quaternion algebras) over arbitrary base fields is presented, as well as quadratic form theoretic criteria to check if such algebras are division algebras. For base fields relevant to STBCs, these criteria are exploited, via Springer's theorem, to construct several explicit infinite families of (bi-)quaternion division algebras. These are used to obtain new $2\x 2$ and $4\x 4$ STBCs.
Description Reference: IEEE Trans. Inform. Theory 57 (2011), no. 9, 6148-6156
Educational Use Research
Learning Resource Type Article
Page Count 8


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