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This paper reduces the number of field multiplications required for scalar multiplication on conservative elliptic curves. For an average 256-bit integer n, this paper's multiply-by-n algorithm takes ...
The Double-Base Number System (DBNS) uses two bases, 2 and 3, in order to represent any integer n. A Double-Base Chain (DBC) is a special case of a DBNS expansion. DBCs have been introduced to speed u...
The verification of an ECDSA signature requires a double-base scalar multiplication, an operation of the form k⋅G+l⋅Q where G is a generator of a large elliptic curve group of prime order ...
In this work, we propose an algorithm to produce the double-base chains that optimize the time used for computing an elliptic curve cryptosystem. The double-base chains is the representation that comb...
In this work, we propose an algorithm to produce the double-base chains that optimize the time used for computing an elliptic curve cryptosystem. The double-base chains is the representation that comb...
The Joint Sparse Form is currently the standard representation system to perform multi-scalar multiplications of the form [n]P + m[Q]. We introduce the concept of Joint Double-Base Chain, a generali...
Multiple-point multiplication on elliptic curves is the highest computational complex operation in the elliptic curve cyptographic based digital signature schemes. We describe three algorithms for ...
Among the various arithmetic operations required in implementing public key cryptographic algorithms, the elliptic curve point multiplication has probably received the maximum attention from the res...
Extended Double-Base Number System with applications to Elliptic Curve Cryptography.
Pairing-based cryptosystems have been developing very fast in the last few years. The efficiencies of the cryptosystems are determined by the computation of the Tate pairing. In this paper a new eff...
The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication. Based on the double-base chain representation of scalar using powers of 2 and 3,...
This paper analyzes the best speeds that can be obtained for single-scalar multiplication with variable base point by combining a huge range of options: – many choices of coordinate systems and for...

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