Non-existence results for vectorial bent functions with Dillon exponent

2021/10/29 by Lucien Lapierre, Lapierre, Lucien, Petr Lisoněk +1
Computer Science · Medicine · #94A15 #94A60 #Cancer Mechanisms and Therapy #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Peptidase Inhibition and Analysis

paper · pdf · doi:10.48550/arxiv.2110.15585

openalex publication_date 2021/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove new non-existence results for vectorial monomial Dillon type bent functions mapping the field of order 2^2m to the field of order 2^m/3. When m is odd and m>3 we show that there are no such functions. When m is even we derive a condition for the bent coefficient. The latter result allows us to find examples of bent functions with m=6 in a simple way.

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