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

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

Research output: Contribution to journal › Article

9 Citations (Scopus)

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 - 1983
Externally publishedYes

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Ternary
Dual Codes
Integer

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Two-weight ternary codes and the equation y2 = 4 × 3a + 13. / Bremner, Andrew; Calderbank, R.; Hanlon, P.; Morton, P.; Wolfskill, J.

In: Journal of Number Theory, Vol. 16, No. 2, 1983, p. 212-234.

Research output: Contribution to journal › Article

Bremner, A, Calderbank, R, Hanlon, P, Morton, P & Wolfskill, J 1983, 'Two-weight ternary codes and the equation y2 = 4 × 3a + 13', Journal of Number Theory, vol. 16, no. 2, pp. 212-234. https://doi.org/10.1016/0022-314X(83)90042-2
Bremner A, Calderbank R, Hanlon P, Morton P, Wolfskill J. Two-weight ternary codes and the equation y2 = 4 × 3a + 13. Journal of Number Theory. 1983;16(2):212-234. https://doi.org/10.1016/0022-314X(83)90042-2
Bremner, Andrew ; Calderbank, R. ; Hanlon, P. ; Morton, P. ; Wolfskill, J. / Two-weight ternary codes and the equation y2 = 4 × 3a + 13. In: Journal of Number Theory. 1983 ; Vol. 16, No. 2. pp. 212-234.
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