Fast-decodable MIDO codes from non-associative algebras
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Publication:906899
DOI10.1504/IJICOT.2015.068695zbMath1338.94109OpenAlexW2065359399MaRDI QIDQ906899
Andrew Steele, Susanne Pumplün
Publication date: 29 January 2016
Published in: International Journal of Information and Coding Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1504/ijicot.2015.068695
fast-decodableiterated space-time code constructionsMIDO codesnon-associative division algebrasrate \(n\)
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Nonassociative division algebras (17A35)
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How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ Nonassociative differential extensions of characteristic \(p\) ⋮ Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codes ⋮ The nonassociative algebras used to build fast-decodable space-time block codes ⋮ Tensor products of nonassociative cyclic algebras ⋮ Nonassociative cyclic extensions of fields and central simple algebras ⋮ The automorphisms of Petit’s algebras ⋮ Quotients of orders in algebras obtained from skew polynomials with applications to coding theory
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