Uniqueness of F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2)

Oezbudak, FERRUH; POTT, Alexander

doi:10.1016/j.ffa.2014.03.004

Uniqueness of F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2)

Oezbudak F., POTT A.

FINITE FIELDS AND THEIR APPLICATIONS, cilt.29, ss.49-88, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 29
Basım Tarihi: 2014
Doi Numarası: 10.1016/j.ffa.2014.03.004
Dergi Adı: FINITE FIELDS AND THEIR APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.49-88
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Let q be a power of an odd prime. We prove that all F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2) are equivalent. We also give a geometric method to find the corresponding equivalence explicitly. (C) 2014 Elsevier Inc. All rights reserved.