# Handbook Of Elliptic And Hyperelliptic Curve Cryptography Pdf

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- Elliptic Curve Cryptography
- Handbook of Elliptic and Hyperelliptic Curve Cryptography
- Elliptic Curve Cryptography

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## Elliptic Curve Cryptography

Public Key Cryptography. Elliptic curve cryptography ECC encompasses the design and analysis of public-key cryptographic schemes that can be implemented using elliptic curves. Elliptic curve cryptographic schemes were proposed independently in by Neal Koblitz [ 5 ] and Victor Miller [ 6 ]. See [ 4 ] for a historical account of the development and commercial acceptance of ECC. The security of all elliptic curve signature schemes , elliptic curve key agreement schemes and elliptic curve public-key encryption schemes is based on the apparent intractability of the elliptic curve discrete logarithm problem ECDLP. Unlike the case of the ordinary discrete logarithm problem in the multiplicative group of a finite field, or with the integer

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## Handbook of Elliptic and Hyperelliptic Curve Cryptography

From the official CRC flyer: The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The main reason is that no subexponential algorithm for computing discrete logarithms on small genus curves is currently available, except in very special cases. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. This makes them particularly attractive for implementations on memory-restricted devices like smart cards and in high-security applications. The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides the algorithms in an explicit manner.

Pages·· MB·12 Downloads·New! Henri Cohen, Gerhard Frey, et al., Handbook of Elliptic and Hyperelliptic Curve Cryptogr.

## Elliptic Curve Cryptography

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