Math @ Duke
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Publications [#235789] of Robert Calderbank
Papers Published
- 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 2025/02/21)
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. © 1983.
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