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