CONSTRUCTION OF SOME UNIMODULAR LATTICES WITH LONG SHADOWS-Reference-Cited by-同舟云学术

CONSTRUCTION OF SOME UNIMODULAR LATTICES WITH LONG SHADOWS

Published:2011-08 Issue:05 Volume:07 Page:1345-1358
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

HARADA MASAAKI¹²

Affiliation:

1. Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan

2. PRESTO, Japan Science and Technology Agency (JST), Kawaguchi, Saitama 332-0012, Japan

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042111004794

Reference14 articles.

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