A new addition formula for elliptic curves over GF(2/sup n/)
In this paper, we propose a new addition formula in projective coordinates for elliptic curves over GF(2n). The new formula speeds up the elliptic curve scalar multiplication by reducing the number of field multiplications. This was achieved by rewriting the elliptic curve addition formula. The comp...
| Main Authors: | Al-Daoud, E., Mahmod, R., Rushdan, M., Kilicman, A. |
|---|---|
| Format: | Article |
| Published: |
Institute of Electrical and Electronics Engineers
2002
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/112493/ |
Similar Items
On the design of projective binary Edwards elliptic curves over GF (p) benefitting from mapping elliptic curves computation to variable degree of parallel design
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011)
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011)
Parallelizing GF (p) montgomery elliptic curve crypto-system operations to improve security and performance.
by: Mohammad Alkhatib,, et al.
Published: (2012)
by: Mohammad Alkhatib,, et al.
Published: (2012)
Parallelizing GF (p) montgomery elliptic curve crypto-system operations to improve security and performance.
by: Alkhatib, Mohammad, et al.
Published: (2013)
by: Alkhatib, Mohammad, et al.
Published: (2013)
Design and performance evaluation of parallel elliptic curve cryptosystem with GF(P) projective coordinates
by: Hussein Fayiz, Mohammad Al-Khatib
Published: (2012)
by: Hussein Fayiz, Mohammad Al-Khatib
Published: (2012)
Choices on designing GF (p) elliptic curve coprocessor benefiting from mapping homogeneous curves in parallel multiplications
by: Al-Haija, Qasem Abu, et al.
Published: (2011)
by: Al-Haija, Qasem Abu, et al.
Published: (2011)
Trade-off between area and speed for projective Edwards Elliptic Curves Crypto-system over GF (p) using parallel hardware designs and architectures
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011)
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011)
Tripling formulae of elliptic curve over binary field in Lopez-Dahab model
by: Md Yasin, Sharifah, et al.
Published: (2015)
by: Md Yasin, Sharifah, et al.
Published: (2015)
Improved arithmetic on elliptic curves over prime field
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2014)
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2014)
A new encryption algorithm over elliptic curve
by: Han, Song, et al.
Published: (2005)
by: Han, Song, et al.
Published: (2005)
New quintupling point arithmetic 5P formulas for Lŏpez-Dahab coordinate over binary elliptic curve cryptography
by: Abdul Raheem, Waleed Khalid Amin, et al.
Published: (2019)
by: Abdul Raheem, Waleed Khalid Amin, et al.
Published: (2019)
An improved public key cryptography based on the elliptic curve
by: Al-Daoud, Essam Faleh
Published: (2002)
by: Al-Daoud, Essam Faleh
Published: (2002)
A new elliptic curve cryptographic system over the finite fields
by: Priyatharsan, U., et al.
Published: (2017)
by: Priyatharsan, U., et al.
Published: (2017)
Committal deniable signatures over elliptic curves
by: Han, Song, et al.
Published: (2004)
by: Han, Song, et al.
Published: (2004)
Addition chain heuristics in application to elliptic curve cryptosystems
by: Mohamed, Mohamad Afendee, et al.
Published: (2024)
by: Mohamed, Mohamad Afendee, et al.
Published: (2024)
High performance methods of elliptic curve scalar multiplication
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2014)
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2014)
Modular forms and elliptic curves over imaginary
quadratic fields
by: Lingham, Mark Peter
Published: (2005)
by: Lingham, Mark Peter
Published: (2005)
On the Improvement of Addition Chain in Applications to Elliptic Curve Cryptosystem
Status: Submitted
by: Mohamed, Mohamad Afendee
Published: (2011)
by: Mohamed, Mohamad Afendee
Published: (2011)
Elliptic net scalar multiplication upon Koblitz curves
by: Muslim, Norliana, et al.
Published: (2020)
by: Muslim, Norliana, et al.
Published: (2020)
First Constraints on Helium <sup>+</sup>He<sup>3</sup> Evolution in z=3–4 Using the 8.67GHz Hyperfine Transition
by: Trott, Cathryn, et al.
Published: (2024)
by: Trott, Cathryn, et al.
Published: (2024)
Improved algorithms of elliptic curve point multiplication over binary and prime fields using elliptic net
by: Muslim, Norliana
Published: (2022)
by: Muslim, Norliana
Published: (2022)
On the mathematical complexity and the time implementation
of proposed variants of elliptic curves cryptosystems
by: Al-Saffar, Najlae F. Hameed, et al.
Published: (2013)
by: Al-Saffar, Najlae F. Hameed, et al.
Published: (2013)
Saturation of Mordell-Weil Groups of Elliptic Curves over Number Fields
by: Prickett, Martin
Published: (2004)
by: Prickett, Martin
Published: (2004)
An efficient identity-based group signature scheme over elliptic curves
by: Han, Song, et al.
Published: (2004)
by: Han, Song, et al.
Published: (2004)
An improved binary method for scalar multiplication in elliptic curve cryptography
by: Mohamed, Mohamad Afendee, et al.
Published: (2010)
by: Mohamed, Mohamad Afendee, et al.
Published: (2010)
Signed decomposition method for scalar multiplication in elliptic curve cryptography
by: Md. Said, Mohamad Rushdan, et al.
Published: (2010)
by: Md. Said, Mohamad Rushdan, et al.
Published: (2010)
Hardware architectures & designs for projective elliptic curves point addition operation using variable levels of parallelism
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011)
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011)
Development of some fast and efficient methods for elliptic curve scalar multiplication over prime fields
by: Al-Saffar, Najlae Falah Hameed
Published: (2015)
by: Al-Saffar, Najlae Falah Hameed
Published: (2015)
Numerical modular symbols for elliptic curves
by: Wuthrich, Christian
Published: (2017)
by: Wuthrich, Christian
Published: (2017)
Anabelian geometry of punctured elliptic curves
by: Porowski, Wojciech
Published: (2020)
by: Porowski, Wojciech
Published: (2020)
A survey on elliptic curve cryptography
by: Mohamed, Mohamad Afendee
Published: (2014)
by: Mohamed, Mohamad Afendee
Published: (2014)
Multi-Threading Elliptic Curve Cryptosystems.
by: Kanniah, Uma S., et al.
Published: (2007)
by: Kanniah, Uma S., et al.
Published: (2007)
Full band Monte Carlo modeling of impact ionization, avalanche multiplication, and noise in submicron GaAs p[sup +]-i-n[sup +] diodes
by: Ong, D. S., et al.
Published: (2000)
by: Ong, D. S., et al.
Published: (2000)
New Representation Method For Integers And Its Application On Elliptic Curve Cryptography
by: Eghdamian, Arash
Published: (2020)
by: Eghdamian, Arash
Published: (2020)
Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2015)
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2015)
New signed-digit {0,1,3}-NAF scalar multiplication algorithm for elliptic curve over binary field
by: Md Yasin, Sharifah
Published: (2011)
by: Md Yasin, Sharifah
Published: (2011)
Current impulse response of thin InP p[sup +]-i-n[sup +] diodes using full band structure Monte Carlo method
by: You, A. H., et al.
Published: (2007)
by: You, A. H., et al.
Published: (2007)
Exact formula for distribution of sequences {ωn}
by: Shahverdian, Ashot, et al.
Published: (2013)
by: Shahverdian, Ashot, et al.
Published: (2013)
Kolyvagin Derivatives of Modular Points on Elliptic Curves
by: Hatton, Richard
Published: (2020)
by: Hatton, Richard
Published: (2020)
An algorithm to enhance elliptic curves scalar multiplication combining MBNR with point halving
by: M. Ismail, Abdulwahed, et al.
Published: (2010)
by: M. Ismail, Abdulwahed, et al.
Published: (2010)
On the wiener's attack into lucas based El-gamal cryptosystem in the elliptic curve over finite field
by: Wong, Tze Jin, et al.
Published: (2018)
by: Wong, Tze Jin, et al.
Published: (2018)
Similar Items
-
On the design of projective binary Edwards elliptic curves over GF (p) benefitting from mapping elliptic curves computation to variable degree of parallel design
by: Al-Khatib, Mohammad Hussein Fayiz, et al.
Published: (2011) -
Parallelizing GF (p) montgomery elliptic curve crypto-system operations to improve security and performance.
by: Mohammad Alkhatib,, et al.
Published: (2012) -
Parallelizing GF (p) montgomery elliptic curve crypto-system operations to improve security and performance.
by: Alkhatib, Mohammad, et al.
Published: (2013) -
Design and performance evaluation of parallel elliptic curve cryptosystem with GF(P) projective coordinates
by: Hussein Fayiz, Mohammad Al-Khatib
Published: (2012) -
Choices on designing GF (p) elliptic curve coprocessor benefiting from mapping homogeneous curves in parallel multiplications
by: Al-Haija, Qasem Abu, et al.
Published: (2011)