Publications [#235789] of Robert Calderbank

Journal articles or Book chapters PUBLISHED

1. 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, vol. 16 no. 2 (January, 1983), pp. 212-234, ISSN 0022-314X [doi]
   (last updated on 2026/01/17)

   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 × 3^a + 13. © 1983.