These estimates allow us to confirm certain cases of conjectures made by Pippenger and Schleich (Random Struct Algorithm 28 (2006), 247–288).doi:10.1002/rsa.v37:4Kevin FlemingNicholas PippengerJohn Wiley & Sons, Inc.Random Structures and Algorithms...
the computational costs are significantly greater. The core computational task is evaluation of a bilinear map, or pairing, over elliptic curves. In this paper we prototype and evaluate polynomial and normal basis field arithmetic on an FPGA device and use it to construct a hardware...
For the second method, we develop a greedy algorithm for selecting a given number of inequalities from the convex hull. Using these inequalities combined with Mixed-integer Linear Programming (MILP) technique, we propose an automatic method for evaluating the security of bit-oriented block ciphers ...
Our unified design supports RSA and elliptic curve schemes, as well as the identity-based encryption which requires a pairing computation on an elliptic curve. The architecture is pipelined and is highly scalable. The unified core utilizes the redundant signed digit representation to reduce the ...
To find or improve efficient algorithms for scalar multiplication sP of point P in the elliptic curve cryptography, it is always an important subject. If F _q =F _2, Solinas cite{Solinas2000} has developed an algorithm for computing the phi-NAF. In this note, we extend Solinas phi-NAF...
It is faster, at least for private key operations, since until someone comes up with a sub exponential algorithm for breaking ECC, the key can be smaller[7]=-=[8]-=-[10]. For public key operations, such as signature verification, RSA is likely to be faster, even with larger keys, ...
Elliptic curve-based algorithms are public key algorithms having over RSA the advantage of less computing time and smaller sized keys. Their implementation in a smart card environment requires efficient algorithm computation. The inventive method consists in a method for rapid calculation of the ...
Elliptic curve-based algorithms are public key algorithms having over RSA the advantage of less computing time and smaller sized keys. Their implementation in a smart card environment requires efficient algorithm computation. The inventive method consists in a method for rapid calculation of the ...
Elliptic curve-based algorithms are public key algorithms having over RSA the advantage of less computing time and smaller sized keys. Their implementation in a smart card environment requires efficient algorithm computation. The inventive method consists in a method for rapid calculation of the ...
Our algorithm and calculations were verified by using CST Microwave Studio® (CST MWS). The boundary conditions for the tangential components of the electric Eϕ, Ez, and magnetic Hϕ, Hz fields were all satisfied for each partition area. The same was satisfied for the condition at ...