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On ternary Kloosterman sums modulo 12

Authors :
Garaschuk, Kseniya
Lisoněk, Petr
Source :
Finite Fields & Their Applications. Nov2008, Vol. 14 Issue 4, p1083-1090. 8p.
Publication Year :
2008

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]

Details

Language :
English
ISSN :
10715797
Volume :
14
Issue :
4
Database :
Academic Search Index
Journal :
Finite Fields & Their Applications
Publication Type :
Academic Journal
Accession number :
34870065
Full Text :
https://doi.org/10.1016/j.ffa.2008.07.002