Title Details: | |
Finite Fields and Cryptography |
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Authors: |
Kontogeorgis, Aristeidis Antoniadis, Ioannis |
Reviewer: |
Deriziotis, Dimitrios |
Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > ELEMENTARY NUMBER THEORY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > ARITHMETIC ALGEBRAIC GEOMETRY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY > MISCELLANEOUS APPLICATIONS OF NUMBER THEORY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ALGEBRAIC GEOMETRY > CURVES |
Keywords: |
Finite Fields
Cryptography Elliptic Curves Computational Number Theory |
Description: | |
Abstract: |
The proposed book refers to the applications of Number Theory in cryptography. Beyond the elementary constructions available in the literature, it will provide an introduction to the new field of elliptic curve cryptography, for which there is not yet an accessible introduction in the Greek literature. The book corresponds to the content of the course "Finite Fields and Cryptography," as it is taught to the students of the Mathematics Department at the University of Athens (UOA). However, we believe it will also be useful in the teaching of other cryptography courses in Mathematics, Computer Science, and Engineering departments.
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Linguistic Editors: |
Kalliaras, Dimitris |
Type: |
Undergraduate textbook |
Creation Date: | 12-10-2015 |
Item Details: | |
ISBN |
978-618-82124-6-6 |
License: |
http://creativecommons.org/licenses/by-nc-sa/3.0/gr |
DOI | http://dx.doi.org/10.57713/kallipos-878 |
Handle | http://hdl.handle.net/11419/155 |
Bibliographic Reference: | Kontogeorgis, A., & Antoniadis, I. (2015). Finite Fields and Cryptography [Undergraduate textbook]. Kallipos, Open Academic Editions. https://dx.doi.org/10.57713/kallipos-878 |
Language: |
Greek |
Consists of: |
1. Elementary Number Theory 2. Ring Theory 3. Law of quadratic Reciprocity 4. Finite Fields 5. Simple Cryptosystems 6. Public Key Cryptosystems 7. Elliptic Curves 8. Factorization methods 9. Construction of Elliptic curves with given order |
Number of pages |
174 |
Publication Origin: |
Kallipos, Open Academic Editions |
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