Some extremal self-dual codes and unimodular lattices in dimension 40

Stefka Bouyuklieva, Iliya Bouyukliev, Masaaki Harada
2013 Finite Fields and Their Applications  
In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40. * This work was supported by JST PRESTO program.
doi:10.1016/j.ffa.2013.01.009 fatcat:vamylw7g4zhabm6lc4ljrq7ywu