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Double Circulant Codes over ℤ4 and even Unimodular Lattices

Journal articles  - Journal Article
Calderbank, AR; Sloane, NJA
Published in: Journal of Algebraic Combinatorics
January 1, 1997
Published version (DOI)

With the help of some new results about weight enumerators of self-dual codes over ℤ4 we investigate a class of double circulant codes over ℤ4, one of which leads to an extremal even unimodular 40-dimensional lattice. It is conjectured that there should be "Nine more constructions of the Leech lattice".

Duke Scholars

Robert Calderbank
Author Robert Calderbank Computer Science
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Published In

Journal of Algebraic Combinatorics

DOI

10.1023/A:1008639004036

ISSN

0925-9899

Publication Date

January 1, 1997

Volume

6

Issue

2

Start / End Page

119 / 131

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Calderbank, A. R., & Sloane, N. J. A. (1997). Double Circulant Codes over ℤ4 and even Unimodular Lattices. Journal of Algebraic Combinatorics, 6(2), 119–131. https://doi.org/10.1023/A:1008639004036
Calderbank, A. R., and N. J. A. Sloane. “Double Circulant Codes over ℤ4 and even Unimodular Lattices.” Journal of Algebraic Combinatorics 6, no. 2 (January 1, 1997): 119–31. https://doi.org/10.1023/A:1008639004036.
Calderbank AR, Sloane NJA. Double Circulant Codes over ℤ4 and even Unimodular Lattices. Journal of Algebraic Combinatorics. 1997 Jan 1;6(2):119–31.
Calderbank, A. R., and N. J. A. Sloane. “Double Circulant Codes over ℤ4 and even Unimodular Lattices.” Journal of Algebraic Combinatorics, vol. 6, no. 2, Jan. 1997, pp. 119–31. Scopus, doi:10.1023/A:1008639004036.
Calderbank AR, Sloane NJA. Double Circulant Codes over ℤ4 and even Unimodular Lattices. Journal of Algebraic Combinatorics. 1997 Jan 1;6(2):119–131.
Journal cover image

Published In

Journal of Algebraic Combinatorics

DOI

10.1023/A:1008639004036

ISSN

0925-9899

Publication Date

January 1, 1997

Volume

6

Issue

2

Start / End Page

119 / 131

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics