# Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40

@article{Harada2013SomeES, title={Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40}, author={Masaaki Harada}, journal={Finite Fields and Their Applications}, year={2013}, volume={21}, pages={67-83} }

- Published 2013 in Finite Fields and Their Applications
DOI:10.1016/j.ffa.2013.01.009

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.

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## Some Results Related to the Conjecture by Belfiore and Solé

View 2 Excerpts

#### References

##### Publications referenced by this paper.

Showing 1-10 of 37 references

## A note on optimal unimodular lattices

View 7 Excerpts

Highly Influenced

## Type II codes over Z4

View 4 Excerpts

Highly Influenced

## Singly-Even Self-Dual Codes of Length 40

View 6 Excerpts

Highly Influenced

## C

View 5 Excerpts

Highly Influenced

## A bound for certain s-extremal lattices and codes

View 4 Excerpts

Highly Influenced

## Sphere Packing

View 3 Excerpts

Highly Influenced

## The Shadow Theory of Modular and Unimodular Lattices

View 5 Excerpts

Highly Influenced

## Even lattices and doubly even codes

View 3 Excerpts

Highly Influenced

## A new upper bound on the minimal distance of self-dual codes

View 5 Excerpts

Highly Influenced

## Jr

View 3 Excerpts

Highly Influenced