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Revista de Ciencias

Print version ISSN 0121-1935

Abstract

VELASQUEZ SOTO, Juan Miguel. Identification of the primitive type of the Voronoi cell in 4-dimensional euclidean lattice. rev. cienc. [online]. 2014, vol.18, n.1, pp.43-55. ISSN 0121-1935.

We will show a mathematical algorithm in order to determine the Voronoi Type of a Euclidean lattice in dimension 4. It is an implementation of Charve's reduction theory of positive definite quadratic forms (see Charve, 1884). This algorithm helps us to recognize lattice Types in order to try to solve the general problem of finding the optimal lattice quantizer in dimension

Keywords : Voronoi cell; quadratic forms.

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