CONSTRUCTION OF SOME UNIMODULAR LATTICES WITH LONG SHADOWS

MASAAKI HARADA
2011 International Journal of Number Theory  
In this paper, we construct odd unimodular lattices in dimensions n = 36, 37 having minimum norm 3 and 4s = n − 16, where s is the minimum norm of the shadow. We also construct odd unimodular lattices in dimensions n = 41, 43, 44 having minimum norm 4 and 4s = n − 24.
doi:10.1142/s1793042111004794 fatcat:f65zvgjpgjalhcdlqnsidjtgb4