کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583462 1333904 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Constructing new APN functions from known ones
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Constructing new APN functions from known ones
چکیده انگلیسی

We present a method for constructing new quadratic APN functions from known ones. Applying this method to the Gold power functions we construct an APN function x3+tr(x9) over Fn2. It is proven that for n⩾7 this function is CCZ-inequivalent to the Gold functions, and in the case n=7 it is CCZ-inequivalent to any power mapping (and, therefore, to any APN function belonging to one of the families of APN functions known so far).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 15, Issue 2, April 2009, Pages 150-159