Efficient Algorithms for ECC Using New Coordinates Systems Over GF(P)

Name: Efficient Algorithms for ECC Using New Coordinates Systems Over GF(P)
Brand: LAP Lambert Academic Publishing
SKU: 9783659260186
Price: 254.63 RON
Availability: InStock

The six Genus-1 elliptic curves using projective coordinates

Autor: Qasem Abu Al-Haija

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Legare: Carte broșată

Editura: LAP Lambert Academic Publishing

Disponibilitate: La editor doar la comandă

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254.63 lei

The use of projective coordinates to define the Elliptic Curves (EC) instead of affine coordinates r...

Informații despre carte

Autor

Qasem Abu Al-Haija

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

EAN

9783659260186

Enbook ID

06854734

Editura

LAP Lambert Academic Publishing

Greutate

153

Dimensiuni

150 x 220 x 6

Descriere completă

The use of projective coordinates to define the Elliptic Curves (EC) instead of affine coordinates replaced the inversion operations by several multiplication operations. Many types of projective coordinates have been proposed for the elliptic curve E: y2= x3+ ax+ b which is defined over a field GF(p) to do EC arithmetic operations such as: Standard projective coordinates, Jacobean projective coordinates, Chudnovsky coordinates. In this thesis, we studied new projective coordinates systems to perform Elliptic Curves Cryptography (ECC) operations with exploiting maximum parallelism to achieve higher performance. The elected coordinates were tested by using parallel multipliers to obtain maximum gain. The result showed that three new attractive projective coordinates systems that can be used as an alternatives for the standard projective coordinates that already in use. These new coordinates are : Doubling Oriented, Tripling Oriented and Montgomery Curves. Montgomery curves gave the best results for area and time when applied for AT measure. However, the difference between these curves is very small which makes those curves to be three choices for efficient ECC Cryptprocessor design.

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Efficient Algorithms for ECC Using New Coordinates Systems Over GF(P)

The six Genus-1 elliptic curves using projective coordinates

Informații despre carte

Descriere completă

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