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: 48.47 EUR
Availability: InStock

The six Genus-1 elliptic curves using projective coordinates

Autor: Qasem Abu Al-Haija

Jazyk:

Väzba: Brožovaná

Vydavateľ: LAP Lambert Academic Publishing

Dostupnosť: U vydavateľa na objednávku

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48.47 €

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

Informácie o knihe

Autor

Qasem Abu Al-Haija

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2012

Stránok

EAN

9783659260186

Enbook ID

06854734

Vydavateľ

LAP Lambert Academic Publishing

Hmotnosť

153

Rozmery

150 x 220 x 6

Kompletný popis

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

Informácie o knihe

Kompletný popis

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Zákazníci, ktorí si kúpili túto knihu, kúpili tiež