Mathematical Analysis of Attacking Methods for Elliptic Curve Systems - Alrammahi, Ammar Ali Neamah
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Over the last two or three decades, elliptic curves have been playing an increasingly significant role not only in number theory but also in related elds such as cryptography. For instance, in the 1980s, elliptic curves started being used in cryptography and elliptic curve techniques were developed for factorization and primality testing. This techniques leads into the discrete logarithm problem on elliptic curves. The goal of the present book is to improve and invent the theory of elliptic curves assuming only modest backgrounds in elementary number theory and in groups and elds,…mehr

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Produktbeschreibung
Over the last two or three decades, elliptic curves have been playing an increasingly significant role not only in number theory but also in related elds such as cryptography. For instance, in the 1980s, elliptic curves started being used in cryptography and elliptic curve techniques were developed for factorization and primality testing. This techniques leads into the discrete logarithm problem on elliptic curves. The goal of the present book is to improve and invent the theory of elliptic curves assuming only modest backgrounds in elementary number theory and in groups and elds, approximately what would be covered in a strong undergraduate or beginning postgraduate abstract number theory course. The book provides an introduction to both the cryptographic side and the number theoretic side of elliptic curves.
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Autorenporträt
Ammar Ali Neamah received BSc in Mathematics Science from University of Baghdad in Iraq, MSc from University of Babylon in 2005 and 2010 respectively and currently enrolled in the PhD program in Mathematics in the University of Reading United Kingdom.