On some patterns of TNAF for scalar multiplication over Koblitz curve

QR Code

On some patterns of TNAF for scalar multiplication over Koblitz curve

A τ-adic non-adjacent form (TNAF) of an element α of the ring Z(τ) is an expansion whereby the digits are generated by iteratively dividing α by τ, allowing the remainders of -1,0 or 1. The application of TNAF as a multiplier of scalar multiplication (SM) on the Koblitz curve plays a key role in Ell...

Full description

Bibliographic Details
Main Authors:	Yunos, Faridah, Rosli, Rosimah, Muslim, Norliana
Format:	Article
Published:	Faculty of Science, University of Malaya 2022
Online Access:	http://psasir.upm.edu.my/id/eprint/102385/

Similar Items

Elliptic net scalar multiplication upon Koblitz curves
by: Muslim, Norliana, et al.
Published: (2020)

Pseudo T - adic non adjacent form for scalar multiplication on Koblitz Curves
by: Yunos, Faridah, et al.
Published: (2015)

Pseudo τ - adic non adjacent form for scalar multiplication on Koblitz curves
by: Yunos, Faridah, et al.
Published: (2015)

Pseudo τ-adic non adjacent form for scalar multiplication on Koblitz Curves
by: Yunos, Faridah, et al.
Published: (2015)

Pseudo τ - adic non adjacent form for scalar multiplication on Koblitz curves
by: Yunos, Faridah, et al.
Published: (2014)

Improvement to scalar multiplication on Koblitz curves by using pseudo τ-adic non-adjacent form
by: Yunos, Faridah, et al.
Published: (2015)

Enhanced scalar multiplication algorithm over prime field using elliptic net
by: Muslim, Norliana, et al.
Published: (2024)

Maximum and minimum norms for τ-NAF expansion on Koblitz Curve
by: Ali, Nur Adawiah, et al.
Published: (2016)

Alternative method to find the number of points on Koblitz curve
by: Hadani, Nurul Hafizah, et al.
Published: (2019)

Development of some fast and efficient methods for elliptic curve scalar multiplication over prime fields
by: Al-Saffar, Najlae Falah Hameed
Published: (2015)

The Construction Of Efficiently Computable Endomorphisms For Scalar Multiplication On Some Elliptic Curves
by: Antony, Siti Noor Farwina Mohamad Anwar
Published: (2019)

Improved scalar multiplication algorithm in affine coordinate system using elliptic net
by: Razali, Zuren, et al.
Published: (2022)

Scalar multiplication via elliptic nets with application to cryptography
by: Muslim, Norliana, et al.
Published: (2018)

High performance methods of elliptic curve scalar multiplication
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2014)

Improved algorithms of elliptic curve point multiplication over binary and prime fields using elliptic net
by: Muslim, Norliana
Published: (2022)

Kembangan pseudotnaf untuk pendaraban skalar di atas lenkuk koblitz
by: Yunos, Faridah
Published: (2014)

An improved binary method for scalar multiplication in elliptic curve cryptography
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)

Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication
by: Muslim, Norliana, et al.
Published: (2018)

Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
by: Muslim, Norliana, et al.
Published: (2018)

A reduced τ-adic Naf (RTNAF) representation for an efficient scalar multiplication on Anomalous Binary Curves (ABC)
by: Yunos, Faridah, et al.
Published: (2014)

Integer Sub-Decomposition (Isd) Method For Elliptic Curve Scalar Multiplication
by: Ajeena, Ruma Kareem K.
Published: (2015)

An algorithm to enhance elliptic curves scalar multiplication combining MBNR with point halving
by: M. Ismail, Abdulwahed, 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)

Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
by: Al Saffar, Najlae Falah Hameed, et al.
Published: (2015)

Improving the performance of {0,1,3}-NAF recoding algorithm for elliptic curve scalar multiplication
by: Abdul Raheem, Waleed K., et al.
Published: (2019)

An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form
by: Mohd Suberi, Syahirah, et al.
Published: (2016)

An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form
by: Mohd Suberi, Syahirah, et al.
Published: (2015)

A lightweight and secure algorithm of elliptic curve cryptography scalar multiplication using Q-NAF method in Lopez-Dahab coordinate
by: Abdulraheem, Waleed Khalid Amin
Published: (2019)

A hybrid addition chain method for faster scalar multiplication
by: Mohamed, Mohamad Afendee, et al.
Published: (2015)

On some specific patterns of τ-Adic non-adjacent form expansion over ring Z (τ)
by: Yunos, Faridah, et al.
Published: (2019)

Multi-base number representation in application to scalar multiplication and pairing computation
by: Mohammed Ismail, Abdelwahed
Published: (2011)

Micro scalar patterning for printing ultra fine solidlines in flexographic printing process
by: Hassan, Suhaimi
Published: (2018)

Scalar fields and gravity
by: Wilson, Toby
Published: (2018)

Iterative sliding window method for shorter number of operations in modular exponentiation and scalar multiplication
by: Noma, Adamu Muhammad, et al.
Published: (2017)

Some Analogue of Cramer-Shoup
by: Md. Said, Mohamad Rushdan, et al.
Published: (2008)

Micro scalar patterning for printing ultra fine solid lines in flexographic printing process
by: Hassan, Suhaimi
Published: (2018)

Patterns of aerosol over Malaysia from multiple satellite-borne sensors
by: Ash'aari, Zulfa Hanan, et al.
Published: (2013)

Transnationalism and the scalar politics of imperialism
by: Legg, Stephen
Published: (2010)

Vanishing of some Galois cohomology groups for elliptic curves
by: Lawson, Tyler, et al.
Published: (2016)