Number-theoretic Algorithms in Cryptography

Erscheinungsjahr 2006
ISBN: 978-0-8218-4090-0
Verlag: American Mathematical Society

Buch, Englisch, Band 232, 248 Seiten, Gewicht: 624 g

Reihe: Translations of Mathematical Monographs

Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.

Autoren/Hrsg.

Vasilenko, O. N.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Kryptologie, Informationssicherheit
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker