Non weakly regular bent polynomials from vectorial quadratic functions
[ X ]
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The Fourier spectrum of some classes of vectorial quadratic functions is analysed. We obtain counting functions for vectorial quadratic functions with prescribed Fourier spectrum using discrete Fourier transform. Vectorial quadratic functions with prescribed Fourier spectrum are then used to construct polynomials in F-pn [x] inducing non weakly regular bent functions from F-pn. to F-p in even dimension n. With a class of vectorial 2-plateaued binomials we explicitly present one infinite class of non weakly regular bent functions with a simple representation.
Açıklama
11th International Conference on Finite Fields and their Applications -- JUL 22-26, 2013 -- Magdeburg, GERMANY
Anahtar Kelimeler
Bent Function, Non Weakly Regular Bent, Vectorial Quadratic Function, Vectorial Partially Bent Function, Discrete Fourier Transform
Kaynak
Topics in Finite Fields
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
632
