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Elliptic Curves and Their Applications to Cryptography - An Introduction (Paperback, Softcover reprint of the original 1st ed. 1999)
Loot Price: R6,115
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Elliptic Curves and Their Applications to Cryptography - An Introduction (Paperback, Softcover reprint of the original 1st ed. 1999)
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Since their invention in the late seventies, public key
cryptosystems have become an indispensable asset in establishing
private and secure electronic communication, and this need, given
the tremendous growth of the Internet, is likely to continue
growing. Elliptic curve cryptosystems represent the state of the
art for such systems. Elliptic Curves and Their Applications to
Cryptography: An Introduction provides a comprehensive and
self-contained introduction to elliptic curves and how they are
employed to secure public key cryptosystems. Even though the
elegant mathematical theory underlying cryptosystems is
considerably more involved than for other systems, this text
requires the reader to have only an elementary knowledge of basic
algebra. The text nevertheless leads to problems at the forefront
of current research, featuring chapters on point counting
algorithms and security issues. The Adopted unifying approach
treats with equal care elliptic curves over fields of even
characteristic, which are especially suited for hardware
implementations, and curves over fields of odd characteristic,
which have traditionally received more attention. Elliptic Curves
and Their Applications: An Introduction has been used successfully
for teaching advanced undergraduate courses. It will be of greatest
interest to mathematicians, computer scientists, and engineers who
are curious about elliptic curve cryptography in practice, without
losing the beauty of the underlying mathematics.
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