Article ID Journal Published Year Pages File Type
4596108 Journal of Pure and Applied Algebra 2015 16 Pages PDF
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 E8E8 lattice from left ideals of maximal orders of some quaternion algebras with centers Q(−d), d=1,2,3,7d=1,2,3,7.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,