Now showing items 1-3 of 3

    • Algebraic constructions of densest lattices 

      Jorge, Grasiele C. [UNIFESP]; Andrade, Antonio A. de; Costa, Sueli I. R.; Strapasson, Joao E. (Elsevier B.V., 2015-05-01)
      The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions 2, 3, 4, 5, 6, 7, 8, 12 and 24 constructed via ideals and free Z-modules that are not ideals in subfields of cyclotomic ...

    • Construções de reticulados via corpos de números 

      Nogueira, Ana Flavia Cesario Machado Alckmin [UNIFESP] (Universidade Federal de São Paulo (UNIFESP), 2020-08-10)
      In this work we study of the theoretical basis that grounding the theory of algebraic lattices and we present some constructions of the E8 lattice with emphasis on the construction presents in the paper A new number field ...

    • Quasi-perfect codes in the l(p) metric 

      Strapasson, Joao E.; Jorge, Grasiele C. [UNIFESP]; Campello, Antonio; Costa, Sueli I. R. (Springer Heidelberg, 2018)
      We introduce the notion of degree of imperfection of a code in Z(n) with the l(p) metric, to extend the so-called quasi-perfect codes. Through the establishment of bounds and computational approach, we determine all radii ...