Recursive formulas generating power moments of multi-dimensional Kloosterman sums and m-multiple power moments of Kloosterman sums

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Author: Kim, D.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154253
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Recursive formulas generating power moments of multi-dimensional Kloosterman sums and m-multiple power moments of Kloosterman sums / D.S. Kim // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 213-228 . — Бібліогр.: 18 назв. — англ.

In this paper, we construct two binary linear codes associated with
 multi-dimensional and m-multiple power Kloosterman sums (for any
 fixed m) over the finite field Fq. Here q is a
 power of two. The former codes are dual to a subcode of the binary
 hyper-Kloosterman...