Algorithms for Modular Elliptic Curves
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9780521418133
ISBN:0521418135
Pub Date: 1992Publisher: Cambridge University Press Summary: Elliptic curves are of central importance in computational number theory with numerous applications in such areas as cryptography primality testing & factorization. This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves complete with computer implementation. In the first part the author describes in detail the construction of modular elliptic curves giving an explicit [read more]
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9780521418133
ISBN:
0521418135
Pub Date: 1992
Publisher: Cambridge University Press
Elliptic curves are of central importance in computational number theory with numerous applications in such areas as cryptography primality testing & factorization. This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves complete with computer implementation. In the first part the author describes in detail the construction of modular elliptic curves giving an explicit algorithm for their computation. Then a collection of algorithms for the arithmetic of elliptic curves is presented, some of these have not appeared in book form before. Finally an extensive set of tables is provided giving the results of the author's implementations of the algorithms. Researchers & graduate students of number theory will find this book useful particularly those interested in computation. That aspect will make it appeal also to computer scientists & coding theorists.
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