Two-weight ternary codes and the equation y2 = 4 × 3a + 13

Published

Journal Article

This paper determines the parameters of all two-weight ternary codes C with the property that the minimum weight in the dual code C⊥ is at least 4. This yields a characterization of uniformly packed ternary [n, k, 4] codes. The proof rests on finding all integer solutions of the equation y2 = 4 × 3a + 13. © 1983.

Full Text

Duke Authors

Cited Authors

  • Bremner, A; Calderbank, R; Hanlon, P; Morton, P; Wolfskill, J

Published Date

  • January 1, 1983

Published In

Volume / Issue

  • 16 / 2

Start / End Page

  • 212 - 234

International Standard Serial Number (ISSN)

  • 0022-314X

Digital Object Identifier (DOI)

  • 10.1016/0022-314X(83)90042-2

Citation Source

  • Scopus