Improved arithmetic on elliptic curves over prime field
A fast point doubling and point addition operations on an elliptic curve over prime field are proposed. This occur when we use a special coordinates system (to represent any point on elliptic curve over prime field. Using this system improved the elliptic curve point arithmetic by reducing the compu...
| Main Authors: | Al Saffar, Najlae Falah Hameed, Md. Said, Mohamad Rushdan |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Dorma Trading Est
2014
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/37972/ http://psasir.upm.edu.my/id/eprint/37972/1/Improved%20arithmetic%20on%20elliptic%20curves%20over%20prime%20field.pdf |
Similar Items
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)
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)
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)
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)
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)
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)
Modular forms and elliptic curves over imaginary
quadratic fields
by: Lingham, Mark Peter
Published: (2005)
by: Lingham, Mark Peter
Published: (2005)
Enhanced scalar multiplication algorithm over prime field using elliptic net
by: Muslim, Norliana, et al.
Published: (2024)
by: Muslim, Norliana, et al.
Published: (2024)
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)
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)
Saturation of Mordell-Weil Groups of Elliptic Curves over Number Fields
by: Prickett, Martin
Published: (2004)
by: Prickett, Martin
Published: (2004)
A new elliptic curve cryptographic system over the finite fields
by: Priyatharsan, U., et al.
Published: (2017)
by: Priyatharsan, U., et al.
Published: (2017)
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)
Elliptic net scalar multiplication upon Koblitz curves
by: Muslim, Norliana, et al.
Published: (2020)
by: Muslim, Norliana, et al.
Published: (2020)
A new addition formula for elliptic curves over GF(2/sup n/)
by: Al-Daoud, E., et al.
Published: (2002)
by: Al-Daoud, E., et al.
Published: (2002)
Committal deniable signatures over elliptic curves
by: Han, Song, et al.
Published: (2004)
by: Han, Song, et al.
Published: (2004)
Garbage-man-in-the-middle (type 2) attack on the Lucas based El-Gamal cryptosystem in the elliptic curve group over finite field
by: Sarbini, Izzatul Nabila, et al.
Published: (2018)
by: Sarbini, Izzatul Nabila, et al.
Published: (2018)
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)
Security analysis of Lucas based El-Gamal Cryptosystem in the elliptic curve group over finite field using two types of GMITM attacks
by: Sarbini, Izzatul Nabila, et al.
Published: (2018)
by: Sarbini, Izzatul Nabila, et al.
Published: (2018)
A new encryption algorithm over elliptic curve
by: Han, Song, et al.
Published: (2005)
by: Han, Song, et al.
Published: (2005)
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)
An improved public key cryptography based on the elliptic curve
by: Al-Daoud, Essam Faleh
Published: (2002)
by: Al-Daoud, Essam Faleh
Published: (2002)
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)
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)
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)
Lucas based el-gamal cryptosystem in the elliptic curve group over finite field under lenstras attack
by: Tze, Jin Wong, et al.
Published: (2018)
by: Tze, Jin Wong, et al.
Published: (2018)
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)
A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
by: Wong, Tze Jin, et al.
Published: (2014)
by: Wong, Tze Jin, et al.
Published: (2014)
An efficient identity-based group signature scheme over elliptic curves
by: Han, Song, et al.
Published: (2004)
by: Han, Song, et al.
Published: (2004)
A survey on elliptic curve cryptography
by: Mohamed, Mohamad Afendee
Published: (2014)
by: Mohamed, Mohamad Afendee
Published: (2014)
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)
Common modulus attack against Lucas based El-Gamal Cryptosystem in the elliptic curve group over finite field
by: Koo, Lee Feng, et al.
Published: (2018)
by: Koo, Lee Feng, et al.
Published: (2018)
Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication
by: Muslim, Norliana, et al.
Published: (2018)
by: Muslim, Norliana, et al.
Published: (2018)
Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
by: Muslim, Norliana, et al.
Published: (2018)
by: Muslim, Norliana, et al.
Published: (2018)
Anabelian geometry of punctured elliptic curves
by: Porowski, Wojciech
Published: (2020)
by: Porowski, Wojciech
Published: (2020)
Multi-Threading Elliptic Curve Cryptosystems.
by: Kanniah, Uma S., et al.
Published: (2007)
by: Kanniah, Uma S., et al.
Published: (2007)
Numerical modular symbols for elliptic curves
by: Wuthrich, Christian
Published: (2017)
by: Wuthrich, Christian
Published: (2017)
Kolyvagin Derivatives of Modular Points on Elliptic Curves
by: Hatton, Richard
Published: (2020)
by: Hatton, Richard
Published: (2020)
Improving the security and encryption performance of cloud storage by using elliptic curve cryptography
by: Ismaeel, Nooruldeen Qutaiba
Published: (2016)
by: Ismaeel, Nooruldeen Qutaiba
Published: (2016)
Similar Items
-
Development of some fast and efficient methods for elliptic curve scalar multiplication over prime fields
by: Al-Saffar, Najlae Falah Hameed
Published: (2015) -
High performance methods of elliptic curve scalar multiplication
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2014) -
Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2015) -
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) -
Improved algorithms of elliptic curve point multiplication over binary and prime fields using elliptic net
by: Muslim, Norliana
Published: (2022)