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Double circulant constructions of the Leech lattice

Published online by Cambridge University Press:  09 April 2009

Robin Chapman
Affiliation:
School of Mathematical Sciences University of ExeterExeter EX4 4QEUK e-mail: [email protected]
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Abstract

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We consider the problem of finding, for each even number m, a basis of orthogonal vectors of length in the Leech lattice. We give such a construction by means of double circulant codes whenever m = 2p and p is a prime not equal to 11. From this one can derive a construction for all even m not of the form 2· 11r.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2000

References

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