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

In this paper, we construct two binary linear codes associated withmulti-dimensional and \(m\)-multiple power Kloosterman sums (for anyfixed \(m\)) over the finite field \(\mathbb{F}_{q}\). Here \(q\) is apower of two. The former codes are dual to a subcode of the binaryhyper-Kloosterman code. Then...

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Bibliographic Details
Date:2015
Main Author: Kim, Dae San
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2015
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/65
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics