elliptic curve point multiplication
Elliptic Curve Point Multiplication Using MBNR and Point Halving
... of point P for fast scalar ...hand, point halving was proposed independently by Knuden [12] and Schroeppel ...that point doubling in the double-and-add method can be replaced by a faster point ...
9
Design and Implementation of Secure Stream Cipher based on Elliptic Curves on Time Shared Basis
... a point on the elliptic curve and ‘k’ is any integer, computing a new point ‘kP’ returns another point on ...called point multiplication operation on EC. The EC ...
8
Data Compression and Security in Elliptic Curve Cryptography with Run Length Encoding
... for elliptic curve digital signature algorithm were proposed along with fault injection technique in ECC and the implementation of scalar multiplication to determine the secret signing key ...of ...
5
Evaluating Composite EC Operations and their Applicability to the on the fly and non window Multiplication Methods
... of elliptic curve point multiplication by trading field inversions with multiplication and squaring has been also addressed by other researchers [7, 8, ...field multiplication ...
8
Symmetric Digit Sets for Elliptic Curve Scalar Multiplication without Precomputation
... In his seminal work [13, 14], Solinas developed a τ-and-add method where the integer n is expanded in basis τ. In this way, in the Horner scheme, point doubling is replaced by the (faster) Frobenius endomorphism. ...
21
Efficient and Low-complexity Hardware Architecture of Gaussian Normal Basis Multiplication over GF(2m) for Elliptic Curve Cryptosystems
... as elliptic curve cryptosystem ...and point multiplication ...of multiplication are important factors in evaluating the efficiency of the related ...
12
Efficient Implementation of Scalar Multiplication for Elliptic Curve Cryptography using Ancient Indian Vedic Mathematics over GF(p)
... Vedic Multiplication Sutra (Algorithm) called “Urdhva ...of point doubling using Ancient Indian Vedic Mathematics to achieve higher ...speed. Point addition and point doubling are key ...
5
A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol
... scalar multiplication procedures reported in [33], we propose a right-to-left Montgomery ladder that efficiently computes the elliptic curve scalar multiplication P + [k]Q required by the two ...
25
Faster point scalar multiplication on NIST elliptic curves over GF(p) using (twisted) Edwards curves over GF(p)
... Weierstrass curve) or order equal to 4q, where q is prime ...count multiplication and inversion much faster than now and because order of points group would be prime number close to p 3 , then the security ...
26
On the Implementation of Unified Arithmetic on Binary Huff Curves
... n-bit point multiplication based on the proposed Unified Huff curve arithmetic costs ...fast point multiplication [16] trick which costs only 6n ...Huff curve; rather, it provides a ...
16
High-Performance Architecture of Elliptic Curve Scalar Multiplication Over GF (2m)
... The curve constant b and base point P are stored in ...the curve constant and base points are loaded from ROM into ...scalar multiplication takes ...base point. During second phase ...
6
An Arithmetic over GF (2^5) To Implement in ECC
... where point coordinates are expressed as 5-bit ...the Elliptic Curve Digital Signature Algorithm, requires addition, multiplication and inversion over a finite field The implementation of ...
5
Elliptic Curve Arithmetic for Cryptography
... at point arithmetic formulae and some scalar multiplication ...scalar multiplication algorithms in the context of differential addition chains and algorithms to compute ...on elliptic ...
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Fast point multiplication algorithms for binary elliptic curves with and without precomputation
... From the cryptographic perspective, one of the most interesting consequences of the Snowden rev- elations, is the increased awareness about the importance of implementing security protocols that offer the Perfect Forward ...
17
High Performance Methods of Elliptic Curve Scalar Multiplication
... as elliptic curve scalar ...fewer point additions and therefore more effi- ciency when needed to compute the scalar multiplication on ...of elliptic curve group, it is observed ...
7
ECDH algorithm for data storage security in cloud data centers
... component multiplication operation of elliptic curve over finite area to generate information each communication sides could exchange, known as the ECDH protocol ...a point P on the ...
8
Hyper-and-elliptic-curve cryptography
... We do claim credit for the idea of using an isogeny to convert keys between E and J , making cryptography faster. At this point one can and should object that [48, Lemma 2.1] merely guarantees the existence of an ...
21
Implementation Of Secure Elliptic Curve Cryptography Against Side Channel Attacks
... (Elliptic curve scalar multiplication) using Montgomery ladder ...the elliptic curve scalar multiplication more secure and speeding up against the various side channel attack ...
6
Elliptic Curve Cryptography in Practice
... the point at infinity, points that do not lie on the curve, and “public keys” that possibly do not have corresponding private ...of elliptic curve points for which we know the private ...the ...
16
GPU and ASIC Acceleration of Elliptic Curve Scalar Point Multiplication
... Some additional remarks are as follows: All designs presented in this table have been implemented using the same 0.18µm CMOS technology. Ansari’s [56] design has the least delay overall, however it should be pointed out ...
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