کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
394427 665802 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the lower bounds of the second order nonlinearities of some Boolean functions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On the lower bounds of the second order nonlinearities of some Boolean functions
چکیده انگلیسی

The r  th order nonlinearity of a Boolean function is an important cryptographic criterion in analyzing the security of stream as well as block ciphers. It is also important in coding theory as it is related to the covering radius of the Reed–Muller code R(r,n)R(r,n). In this paper we deduce the lower bounds of the second order nonlinearities of the following two types of Boolean functions:1.fλ(x)=Tr1n(λxd) with d=22r+2r+1d=22r+2r+1 and λ∈F2n∗, where n=6rn=6r.2.f(x,y)=Tr1t(xy2i+1), where x,y∈F2t,n=2t,n⩾6x,y∈F2t,n=2t,n⩾6 and i   is an integer such that 1⩽i

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 180, Issue 2, 15 January 2010, Pages 266–273
نویسندگان
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