کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583433 1333902 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Monomial bent functions and Stickelberger's theorem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Monomial bent functions and Stickelberger's theorem
چکیده انگلیسی

In this paper we use certain results on the divisibility of Gauss sums, mainly Stickelberger's theorem, to study monomial bent functions. This approach turns out to be especially nice in the Kasami, Gold and Dillon case. As one of our main results we give an alternative proof of bentness in the case of the Kasami exponent. Using the techniques developed here, this proof turns out to be very short and generalizes the previous results by Dillon and Dobbertin to the case where n is divisible by 3. Furthermore, our approach can also be used to deduce properties of the dual function. More precisely, we show that the dual of the Kasami function is not a monomial Boolean function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 14, Issue 3, July 2008, Pages 727-742