Maximal differential uniformity polynomials
Tom 188 / 2019
                    
                    
                        Acta Arithmetica 188 (2019), 345-366                    
                                        
                        MSC: Primary 11T06; Secondary 11T71, 14G50.                    
                                        
                        DOI: 10.4064/aa170806-11-7                    
                                            
                            Opublikowany online: 8 April 2019                        
                                    
                                                Streszczenie
We provide explicit infinite families of integers $m$ such that all the polynomials of ${\mathbb F}_{2^n}[x]$ of degree $m$ have maximal differential uniformity for $n$ large enough. We also prove a conjecture of the third author for these families.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            