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

A. Bremner, R. Calderbank, P. Hanlon, P. Morton, J. Wolfskill

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)212-234
Number of pages23
JournalJournal of Number Theory
Volume16
Issue number2
DOIs
StatePublished - Apr 1983

ASJC Scopus subject areas

  • Algebra and Number Theory

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