پديد آورنده :
صرامي فروشاني، محمدامين
عنوان :
مسئله لگاريتم گسسته در ميدان هاي متناهي از مشخصه كوچك
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
علوم رياضي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
[هشت]، ۶۲ص.: مصور
استاد راهنما :
رضا رضائيان فراشاهي
واژه نامه :
انگليسي به فارسي; فارسي به انگليسي
توصيفگر ها :
الگوريتم , لگاريتم گسسته , ميدان متناهي , مشخصه كوچك , ميدان متناهي از مشخصه كوچك , مكاشفه اي
استاد داور :
فريد بهرامي، امير هاشمي
تاريخ ورود اطلاعات :
1397/05/23
چكيده انگليسي :
Discrete Logarithm Problem in Finite Fields of Small Characteristic Mohammad Amin Sarrami Foroushani ma sarrami@ math iut ac ir 2018 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Reza Rezaeian Farashahi farashahi@cc iut ac ir Advisor Dr Majid Gazor mgazor@cc iut ac ir 2010 MCS 68Q25 68P25 94A60Keywords Algorithm Discrete Logarithm Finite Field Small characteristic Finite Fields of Small Characteristic Heuristic AbstractThis M Sc thesis is based on the following papers Joux Antoine A new index calculus algorithm with complexity L 1 o 1 in very small 4characteristic Selected Areas in Cryptography SAC 2013 vol 8282 Springer pp 355 379 2013 Barbulescu Razvan Gaudry Pierrick Joux Antoine Thom Emmanuel A quasi polynomialalgorithm for discrete logarithm in finite fields of small characteristic Advances in CryptologyEUROCRYPT 2014 vol 8441 Springer pp 1 16 2014 Revealing transmitted messages between two communication parties could lead to Irreparableconsequences Therefore it is necessary to invent some procedures for concealing the contentof communications To resolve this requirement changing message before transmission by thesender encryption and then recovering the changed message to it s first state by the receiver decryption is considered from ancient times Nowadays the branch of science which focuson such ways of data transmitting is called cryptology and is divided to three branches namedcryptography cryptanalysis and cryptographic protocols The natural idea for concealing communication s content is that two parties of the communica tion agree on a way of data changing which is called key and then transmit their messages bymeans of that key This situation could be analogize in this way that the sender put his messageinto a box and close it by a lock which only he and the receiver have it s key
استاد راهنما :
رضا رضائيان فراشاهي
استاد داور :
فريد بهرامي، امير هاشمي
