1. On ternary Kloosterman sums modulo 12
- Author
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Garaschuk, Kseniya and Lisoněk, Petr
- Subjects
- *
ALGEBRAIC curves , *ALGEBRAIC varieties , *CUBIC curves , *ELLIPTIC curves - Abstract
Abstract: Let denote the Kloosterman sum on . It is easy to see that for all . We completely characterize those for which , and . The simplicity of the characterization allows us to count the number of the belonging to each of these three classes. As a byproduct we offer an alternative proof for a new class of quasi-perfect ternary linear codes recently presented by Danev and Dodunekov. [Copyright &y& Elsevier]
- Published
- 2008
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