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On permutations of nonlinear functions and orthomorphisms with good cryptographic and coding properties / Rasha Shaheen ; Supervised Laila Abdelal , Hassan Aly , Arne Winterhof

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Rasha Shaheen , 2010Description: 137P. : facsimiles ; 25cmOther title:
  • دراسة الدوال التبديلية اللاخطيه والارثومورفزمية ذات الخصائص التشفيرية والترميزيه الجيدة [Added title page title]
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Dissertation note: Thesis (Ph.D.) - Cairo University - Faculty of science - Department of Mathematics Summary: 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 {u2206}f (x) = f (x + Ü) - f (x) , Ü {u2208} F* Ü
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Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.Ph.D.2010.Ra.O (Browse shelf(Opens below)) Not for loan 01010110054379000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.Ph.D.2010.Ra.O (Browse shelf(Opens below)) 54379.CD Not for loan 01020110054379000

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 {u2206}f (x) = f (x + Ü) - f (x) , Ü {u2208} F* Ü

Issued also as CD

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