Two-weight ternary codes and the equation y2 = 4 × 3a + 13 |
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| Authors: | A Bremner R Calderbank P Hanlon P Morton J Wolfskill |
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| Institution: | Emmanuel College, Cambridge CB2 3AP, England;Bell Telephone Laboratories, Murray Hill, New Jersey 07974 USA;Department of Mathematics, California Institute of Technology, Pasadena, California 91125 USA |
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| 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. |
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