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Sphere packings constructed from BCH and Justesen codes

Published online by Cambridge University Press:  26 February 2010

N. J. A. Sloane
N. J. A. Sloane
Affiliation:
Bell Telephone Laboratories, Inc., Murray Hill, New Jersey, U.S.A.
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Extract

Abstract. Bose-Chaudhuri-Hocquenghem and Justesen codes are used to pack equa spheres in n–dimensional Euclidean space with density Δ satisfying

for all sufficiently large n of the form m 2m, where m is a power of 4. These appear to be the densest packings yet constructed in high dimensional space.

Information

Type
Research Article
Information
Mathematika , Volume 19 , Issue 2 , December 1972 , pp. 183 - 190
Copyright
Copyright © University College London 1972

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References

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