Maximum distance -nary codes

  • Authors:
  • R. Singleton

  • Affiliations:
  • -

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Aq-nary error-correcting code withN = q^{k}code words of lengthn = k + rcan have no greater minimum distancedthanr+1. The class of codes for whichd = r+1is studied first in general, then with the restriction that the codes be linear. Examples and construction methods are given to show that these codes exist for a number of values ofq, k, andr.