Rasha Shaheen <br/><br/>
On permutations of nonlinear functions and orthomorphisms with good cryptographic and coding properties /  
 دراسة الدوال التبديلية اللاخطيه والارثومورفزمية ذات الخصائص التشفيرية والترميزيه الجيدة 
Rasha Shaheen ; Supervised Laila Abdelal , Hassan Aly , Arne Winterhof 
 - Cairo :   Rasha Shaheen ,   2010 
 - 137P. :   facsimiles ;   25cm 
<br/><br/>Thesis (Ph.D.) - Cairo University - Faculty of science - Department of Mathematics 
<br/><br/> Permutation polynomials over finite fields have many applications in cryptography and coding theory . The work in this thesis covers two types of permutation polynomials over FÜ . The first comes from any perfect nonlinear function f over FÜ which has many applications in stream and block ciphers authentication codes and coding theory . Here we study the permutations of the form f (x) = f (x + Ü) - f (x) , Ü  F* Ü 
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<br/><br/><label>Subjects--Index Terms: </label>FÜ Check digit system  Complete mapping