On permutations of nonlinear functions and orthomorphisms with good cryptographic and coding properties /
Rasha Shaheen
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
Thesis (Ph.D.) - Cairo University - Faculty of science - Department of Mathematics
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
FÜ Check digit system Complete mapping
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
Thesis (Ph.D.) - Cairo University - Faculty of science - Department of Mathematics
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
FÜ Check digit system Complete mapping