Higher power residue codes and the Leech lattice
Journal of Algebraic Combinatorics, Tome 21 (2005) no. 1, pp. 39-53.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We shall consider higher power residue codes over the ring Z $_{4}$. We will briefly introduce these codes over Z $_{4}$ and then we will find a new construction for the Leech lattice. A similar construction is used to construct some of the other lattices of rank 24.
Keywords: keywords self-dual code, even unimodular lattice, hensel lifting
@article{JAC_2005__21_1_a2,
     author = {Raji, Mehrdad Ahmadzadeh},
     title = {Higher power residue codes and the {Leech} lattice},
     journal = {Journal of Algebraic Combinatorics},
     pages = {39--53},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2005__21_1_a2/}
}
TY  - JOUR
AU  - Raji, Mehrdad Ahmadzadeh
TI  - Higher power residue codes and the Leech lattice
JO  - Journal of Algebraic Combinatorics
PY  - 2005
SP  - 39
EP  - 53
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2005__21_1_a2/
LA  - en
ID  - JAC_2005__21_1_a2
ER  - 
%0 Journal Article
%A Raji, Mehrdad Ahmadzadeh
%T Higher power residue codes and the Leech lattice
%J Journal of Algebraic Combinatorics
%D 2005
%P 39-53
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2005__21_1_a2/
%G en
%F JAC_2005__21_1_a2
Raji, Mehrdad Ahmadzadeh. Higher power residue codes and the Leech lattice. Journal of Algebraic Combinatorics, Tome 21 (2005) no. 1, pp. 39-53. http://geodesic.mathdoc.fr/item/JAC_2005__21_1_a2/