Alves, C. [UNESP]Belfiore, J. -C.2015-10-212015-10-212015-04-01Journal Of Pure And Applied Algebra. Amsterdam: Elsevier Science Bv, v. 219, n. 4, p. 687-702, 2015.0022-4049http://hdl.handle.net/11449/129063We 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.687-702engArtigo10.1016/j.jpaa.2014.04.025WOS:000347493600001Acesso restrito