Name
Abstract | ||
|---|---|---|
. The dual code of the Melas code is called the Kloosterman code. The weights of its codewords can be expressed by the Kloosterman
sums, and are uniformly distributed with respect to the Sato-Tate measure. In this paper, the hyper-Kloosterman code C
m
(q), a generalization of the Kloosterman code is defined, and the uniform distribution property is deduced using the hyper-Kloosterman
sums when m is even and p− 1|m. Finally we discuss doubly-evenness for the weights in the binary case. It shows that we can construct infinitely many doubly-even
codes in a non-trivial way. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/s002000100080 | Appl. Algebra Eng. Commun. Comput. |
Keywords | Field | DocType |
Keywords: Hyper-Kloosterman sums,Trace code,Weight distribution of codes. | Discrete mathematics,Combinatorics,Kloosterman sum,Uniform distribution (continuous),Coding theory,Universal code,Mathematics,Dual code,Binary number | Journal |
Volume | Issue | ISSN |
12 | 5 | 0938-1279 |
Citations | PageRank | References |
1 | 0.38 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Koji Chinen | 1 | 4 | 1.82 |
| Toyokazu Hiramatsu | 2 | 1 | 0.72 |