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Constructing elliptic curves of prescribed order
Angol
189 b
30 nap a termék visszaküldésére
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6 952
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30 208
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34 502
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Over the past 20 years, elliptic curves have become§an integral part of many§cryptographic protocols. As a consequence, methods§for constructing elliptic§curves suitable for cryptography have been studied§intensively. This book gives§a new and very efficient method to construct an§elliptic curve of prescribed§order. It includes a basic introduction to elliptic§curves, written for§beginning graduate students in mathematics. The§presented construction§naturally leads into a discussion of the relationship§between elliptic curves§and algebraic number theory. This more advanced§topic, known as complex§multiplication theory, was first pioneered by§Kronecker in the 19th century and§it has recently regained popularity. The second part§of this book contains§various new p-adic algorithms in this area and it§gives a description of p-adic§class invariants.
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