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Dense sphere packings from new codes

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Publication:1575096
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DOI10.1023/A:1008733715001zbMath0972.52008MaRDI QIDQ1575096

Yves Edel, Juergen Bierbrauer

Publication date: 14 August 2000

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)


zbMATH Keywords

latticeerror-correcting codessphere packings


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)


Related Items (1)

Perfect, strongly eutactic lattices are periodic extreme



Cites Work

  • Unnamed Item
  • Extending and lengthening BCH codes.
  • New codes via the lengthening of BCH codes with UEP codes
  • A new sphere packing in 20 dimensions
  • Coset codes. II. Binary lattices and related codes
  • Some ternary and quaternary codes and associated sphere packings
  • Density doubling, double-circulants, and new sphere packings
  • New code parameters from Reed-Solomon subfield codes
  • Inverting construction Y/sub 1/


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