All Outputs (23)

The nonassociative algebras used to build fast-decodable space-time block codes (2015)
Journal Article
Pumpluen, S., & Steele, A. (2015). The nonassociative algebras used to build fast-decodable space-time block codes. Advances in Mathematics of Communications, 9(4), https://doi.org/10.3934/amc.2015.9.449

Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D. Two of these families appear eit... Read More about The nonassociative algebras used to build fast-decodable space-time block codes.

Fast-decodable MIDO codes from non-associative algebras (2015)
Journal Article
Pumpluen, S., & Steele, A. (2015). Fast-decodable MIDO codes from non-associative algebras. International Journal of Information and Coding Theory, 3(1), https://doi.org/10.1504/IJICOT.2015.068695

By defining a multiplication on a direct sum of n copies of a given cyclic division algebra, we obtain new unital non-associative algebras. We employ their left multiplication to construct rate-n and rate-2 fully diverse fast ML-decodable space-time... Read More about Fast-decodable MIDO codes from non-associative algebras.

How to obtain division algebras used for fast-decodable space-time block codes (2014)
Journal Article
Pumpluen, S. (2014). How to obtain division algebras used for fast-decodable space-time block codes. Advances in Mathematics of Communications, 8(3), https://doi.org/10.3934/amc.2014.8.323

We present families of unital algebras obtained through a doubling process from a cyclic central simple algebra D, employing a K-automorphism tau and an invertible element d in D. These algebras appear in the construction of iterated space-time block... Read More about How to obtain division algebras used for fast-decodable space-time block codes.