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

• Дата: 2015
• Автор: Kim, Dae San
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2015
• Теми: Index terms-recursive formula; multi-dimensional Kloosterman sum,; 11T23; 20G40; 94B05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/65
• Назва журналу: Algebra and Discrete Mathematics

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...