Sphere Packings and Error-correcting Codes

@inproceedings{Leech1971SpherePA,
  title={Sphere Packings and Error-correcting Codes},
  author={John Leech},
  year={1971}
}
Error-correcting codes are used in several constructions for packings of equal spheres in ^-dimensional Euclidean spaces E. These include a systematic derivation of many of the best sphere packings known, and construction of new packings in dimensions 9-15, 36, 40, 48, 60, and 2 for m g 6. Most of the new packings are nonlattice packings. These new packings increase the previously greatest known numbers of spheres which one sphere may touch, and, except in dimensions 9, 12, 14, 15, they include… CONTINUE READING
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References

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Showing 1-10 of 11 references

A new family of singleerror correcting codes , IEEE Trans

  • D. S. Whitehead
  • Information Theory
  • 1970

New sphere packings in dimensions 9 - 15 , Bull

  • J. Leech, N. J. A. Sloane
  • . Amer . Math . Soc .
  • 1969

Rogers , The packing of equal spheres

  • A. C.
  • Proc . London Math . Soc .
  • 1969

Some sphere packings in higher space , Can

  • J. Leech
  • . J . Math .
  • 1969

Some remarks on BCH bounds and minimum weights of binary primitive BCH codes

  • N. Tokura
  • IEEE Trans . Information Theory
  • 1965

An extreme duodenary form , Can

  • J. A. Todd
  • . J . Math .
  • 1963

Wall , Some extreme forms defined in terms of Abelian groups

  • E. G.
  • J . Australian Math . Soc .
  • 1959

Notes on digital coding

  • M. J. E. Golay
  • Proc . I . R . E .
  • 1953

A new family of nonlinear codes obtained from conference matrices

  • N. J. A. Sloane, J. J. Seidel
  • Ann . New York Acad . Sci .

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