Name
Abstract | ||
|---|---|---|
Let K(a) denote the Kloosterman sum on F"3"^"m. It is easy to see that K(a)=2(mod3) for all a@?F"3"^"m. We completely characterize those a@?F"3"^"m for which K(a)=1(mod2), K(a)=0(mod4) and K(a)=2(mod4). The simplicity of the characterization allows us to count the number of the a@?F"3"^"m 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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.ffa.2008.07.002 | Finite Fields and Their Applications |
Keywords | Field | DocType |
kloosterman sum,new class,quasi-perfect ternary linear code,ternary kloosterman sums modulo,alternative proof,linear code,elliptic curve | Discrete mathematics,Combinatorics,Kloosterman sum,Algebra,Modulo,Ternary operation,Elliptic curve,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 4 | 1071-5797 |
Citations | PageRank | References |
9 | 0.84 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kseniya Garaschuk | 1 | 15 | 1.55 |
| Petr Lisoněk | 2 | 93 | 14.48 |