کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
419547 683835 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A transform property of Kloosterman sums
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
A transform property of Kloosterman sums
چکیده انگلیسی

An expression for the number of times a certain trace function associated with a Kloosterman sum on an extension field assumes a given value in the base field is given and its properties explored. The relationship of this result to the enumeration of certain types of irreducible polynomials over fields of characteristic two or three and to the weights in the dual of a Melas code is considered. It is argued that the expressions obtained for the trace functions, while simply related to the Kloosterman sums, can be more directly useful than the exponential sums themselves in certain applications. In addition, they enjoy properties that are of independent interest.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 158, Issue 10, 28 May 2010, Pages 1064–1072
نویسندگان
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