The Newton radius of codes

  • Authors:
  • T. Helleseth;T. Klove

  • Affiliations:
  • Dept. of Inf., Bergen Univ.;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1997

Quantified Score

Hi-index 754.90

Visualization

Abstract

For a binary linear code C of minimum distance d, if t>(d-1)/2, then there are errors of weight t which are not uniquely correctable. However, in many cases there are also errors of weight t which are uniquely correctable. The Newton radius of a code is defined to be the largest weight of a uniquely correctable error. Bounds and exact values of the Newton radius are given for several classes of codes