Publication: Lattices from maximal orders into quaternion algebras
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2015-04-01
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Undergraduate course
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Elsevier B.V.
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Article
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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.
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English
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Journal Of Pure And Applied Algebra. Amsterdam: Elsevier Science Bv, v. 219, n. 4, p. 687-702, 2015.
