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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Lattices from maximal orders into quaternion algebras

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Author(s):
Alves, C. [1] ; Belfiore, J. -C. [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 219, n. 4, p. 687-702, APR 2015.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 11/12657-9 - Cyclic division algebras in the space-time coding
Grantee:Carina Alves
Support Opportunities: Scholarships abroad - Research