Lattices from maximal orders into quaternion algebras

Autor(es)

Alves, C. ^[1] ; Belfiore, J. -C. ^[2]

Afiliação do(s) autor(es)

^[1] Sao Paulo State Univ UNESP, Dept Math, BR-13506900 Rio Claro, SP - Brazil

^[2] TELECOM Paris Tech, Dept Commun & Elect, F-75013 Paris - France

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 219, n. 4, p. 687-702, APR 2015.
• Citações Web of Science: 0

Resumo

We propose an algebraic framework to construct dense lattices from maximal orders of a quaternion algebra whose center is an imaginary quadratic field. This work extends {[}21] where a method called algebraic reduction has been proposed to efficiently decode the Golden code {[}14]. In particular, we propose four new constructions of E-8 lattice from left ideals of maximal orders of some quaternion algebras with centers Q(root-d), d = 1,2,3,7. (C) 2014 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 11/12657-9 - Álgebras de divisão cíclica na codificação espaço-temporal
• Beneficiário: Carina Alves
• Modalidade de apoio: Bolsas no Exterior - Pesquisa