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cs.ITMay 1, 2007
60
citations (OpenAlex)
authors
  • Yeow Meng Chee
  • San Ling
institutions
  • Nanyang Technological University
arXiv abstractPDF
paper

Constructions of q-Ary Constant-Weight Codes

arXiv:0705.0081 · doi:10.1109/TIT.2006.887499

Abstract

This paper introduces a new combinatorial construction for q-ary constant-weight codes which yields several families of optimal codes and asymptotically optimal codes. The construction reveals intimate connection between q-ary constant-weight codes and sets of pairwise disjoint combinatorial designs of various types.

12 pages

Cited by in corpus (11)

  • Linear Size Optimal q-ary Constant-Weight Codes and Constant-Composition Codes
  • The Sizes of Optimal q-Ary Codes of Weight Three and Distance Four: A Complete Solution
  • A family of diameter perfect constant-weight codes from Steiner systems
  • Decompositions of Edge-Colored Digraphs: A New Technique in the Construction of Constant-Weight Codes and Related Families
  • SCW Codes for Maximum Likelihood Detection in Diffusive Molecular Communications without Channel State Information
  • A Pair of Disjoint 3-GDDs of type g^t u^1
  • Constant-Weight Array Codes
  • A construction of group divisible designs with zero block sum
  • On Expanded Cyclic Codes
  • Hypergraph encoding set systems and their linear representations
  • SCW Codes for Optimal CSI-Free Detection in Diffusive Molecular Communications
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