Artículos de revistas
Lattices from maximal orders into quaternion algebras
Fecha
2015-04-01Registro en:
Journal Of Pure And Applied Algebra. Amsterdam: Elsevier Science Bv, v. 219, n. 4, p. 687-702, 2015.
0022-4049
10.1016/j.jpaa.2014.04.025
WOS:000347493600001
Autor
Universidade Estadual Paulista (Unesp)
TELECOM Paris Tech
Institución
Resumen
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.