THREE-WEIGHT CODES AND ASSOCIATION SCHEMES.

Published

Journal Article

Three-weight projective codes C are considered for which the restriction to C of the Hamming association scheme H//n(q) is an association scheme with three classes. Sufficient conditions are established and restrictions on the three weights of C are obtained. It is shown in the binary case that the three-weight subcodes of the shortened second-order Reed-Muller codes provide a large class of examples, Previously known examples were the duals of perfect 3-error-correcting or uniformly packed 2-error-correcting codes.

Duke Authors

Cited Authors

  • Calderbank, AR; Goethals, JM

Published Date

  • December 1, 1984

Published In

Volume / Issue

  • 39 / 4-5

Start / End Page

  • 143 - 152

International Standard Serial Number (ISSN)

  • 0165-5817

Citation Source

  • Scopus