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http://acervodigital.unesp.br/handle/11449/129063
- Title:
- Lattices from maximal orders into quaternion algebras
- Universidade Estadual Paulista (UNESP)
- TELECOM Paris Tech
- 0022-4049
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- FAPESP: 2011/12657-9
- 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.
- 1-Apr-2015
- Journal Of Pure And Applied Algebra. Amsterdam: Elsevier Science Bv, v. 219, n. 4, p. 687-702, 2015.
- 687-702
- Elsevier B.V.
- http://www.sciencedirect.com/science/article/pii/S0022404914000942
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/129063
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