Elementary 2-group character codes

  • Authors:

  • Cunsheng Ding;D. Kohel;San Ling

  • Affiliations:

  • Dept. of Comput. Sci., Nat. Univ. of Singapore;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2000

Quantified Score

Hi-index 754.84

Visualization

Abstract

We describe a class of codes over GF(q), where q is a power of an odd prime. These codes are analogs of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and properties of these codes. For a subclass of codes we find the weight distribution and prove that the minimum nonzero weight codewords give 1-designs