پديد آورنده :
رستگار، احسان
عنوان :
برخي نگاشت ها و اتوماتاي سلولي آشوبي، خاصيت ها و كاربردها در رمز نگاري
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
علوم رياضي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
هشت،85ص.: مصور
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
رضا مزروعي سبداني
استاد مشاور :
رضا رضائيان فراشاهي
توصيفگر ها :
آنتروپي توپولوژيك , ارگوديك , نمايي لياپانف
تاريخ نمايه سازي :
21/10/93
استاد داور :
حميدرضا ظهوري زنگنه، مجيد گازر
چكيده انگليسي :
Some chaotic maps and cellular automata Properties and applications in cryptography Ehsan Rastgar n rastgar@math iut ac ir 2014 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Reza Mazrooei Sebdani mazrooei@cc iut ac ir Advisor Dr Reza Rezaeian Farashahi farashahi@cc iut ac ir 2010 MSC 37B15 34A34 37A25 94A60 39A33 37D45 Keywords Cellular automata Chaotic maps Topological entropy Ergodic Lyapunov exponent Cryptography AbstractThe distinct properties of chaos especially its extreme sensitivity to tiny variations of initial conditionsand system parameters have granted it to be a good candidate for cryptographic algorithms In fact chaos based algorithm CBA has shown some exceptionally good properties in many aspects regard ing security complexity speed computing power and computational overhead The huge potential ofchaotic maps in various applications has also ignited great demands of new chaotic maps with morecomplicate and nicer dynamical nature By referring to the dimensionality of the maps they aregenerally categorized as one dimensional two dimensional and so on some examples of chaotic mapsare given in Appendices The designs of low dimensional chaotic maps are basically relied on thenon linear or piecewise linear transformations so that the necessity expansion and contraction canbe obtained in the same invariant set In contrast the formation of high dimensional chaotic maps israther ad hoc Therefore it is desirable if some systematic ways can be obtained for the derivation ofchaotic maps with any desired dimension We are interested in extending the low dimensional chaotic High dimensional chaotic map can beobtained by replacing the scalar values of the transformation matrix of a conventional Cat map bysymmetric m matrices with natural entries A more general approach known as multi dimensional
استاد راهنما :
رضا مزروعي سبداني
استاد مشاور :
رضا رضائيان فراشاهي
استاد داور :
حميدرضا ظهوري زنگنه، مجيد گازر
