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In this paper, we continue the study of bit-parallel multiplier using a nn-term Karatsuba algorithm (KA), recently introduced by Li et al. (IEEE Access 2018). Such a nn-term KA is a generalization of ...
We show that such a type of trinomial combined with the nn-term KA can fully exploit the spatial correlation of entries in related Mastrovito product matrices and lead to a low complexity architecture...
We present a Matrix-vector form of Karatsuba multiplication over GF(2m)GF(2m) generated by an irreducible trinomial. Based on shifted polynomial basis (SPB), two Mastrovito matrices for different Kara...
There are a variety of ways of applying the Karatsuba idea to multi-digit multiplication. These apply particularly well in the context where digits do not use the full word-length of the computer, so ...
This paper introduces constant-time ARM Cortex-A8 ECDH software that (1) is faster than the fastest ECDH option in the latest version of OpenSSL but (2) achieves a security level above 2200 using a ...
Multi-precision squaring is a crucial operation for implementation of Elliptic Curve Cryptography. Particularly, when it comes to embedded processors, the operation should be designed carefully to e...
The aim of this paper is to find more Karatsuba-like formulae for a fixed set of moduli polynomials in GF(2)[x]. To this end, a theoretical framework is established. We first generalize the division ...
This paper is devoted to the design of fast parallel accelerators for the cryptographic Tate pairing in characteristic three over supersingular elliptic curves. We propose here a novel hardware impl...
We present a subquadratic ternary field multiplier based on the combination of several variants of the Karatsuba-Ofman scheme recently published. Since one of the most relevant applications for this...
In this work we generalize the classical Karatsuba Algorithm (KA) for polynomial multiplica- tion to (i) polynomials of arbitrary degree and (ii) recursive use. We determine exact complexity expressi...
We describe how a recently proposed way to split input operands allows for fast VLSI implementations of GF(2)[x] Karatsuba-Ofman multipliers. The XOR gate delay of the proposed multiplier is better th...

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