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

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Oezbudak F., POTT A.

FINITE FIELDS AND THEIR APPLICATIONS, vol.29, pp.49-88, 2014 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 29
• Publication Date: 2014
• Doi Number: 10.1016/j.ffa.2014.03.004
• Journal Name: FINITE FIELDS AND THEIR APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.49-88
• Middle East Technical University Affiliated: Yes

Abstract

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.