Experiments demonstrate that the factorization problem in cryptography can be solved more efficiently by employing algorithms designed for fast and straightforward multiplication of large numbers. Examples include the Schnhage–Strassen algorithm, which is based on polynomials and Fourier transforms, the Für...
Conjugacy systems based on nonabelian factorization problems and their applications in cryptography In [4], the authors studied this factorization problem exhaustively. A factorization formula in Z[[[chi]]] One problem that is particularly challenging, and of utmost importance in practical security appl...
Factorization problemIdentity-based (ID-based) cryptography is very useful as it can simplify the certificate management in public key cryptosystem. Since 2001, researchers have introduced various practical and efficient ID-based encryption schemes. Most of them are based on pairings, under the Diffie...
a fact which is exploited in the RSA cryptosystem to implement public-key cryptography. Pierre de Fermat was unable to discover that the 6th Fermat number 1 + 2^32 is not a prime number.
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The booming of quantum algorithm casts distrust on many public key cryptosystems based on integer factorization problem, discrete logarithm, and other assumed intractable problems over certain abelian groups. Conjugacy systems based on nonabelian factorization problems and their applications in cryptography On...
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The security of the RSA cryptography system is based on the high complexity and security of the integer factorization problem. Shor’s algorithm1 can attack the RSA cryptosystem in polynomial time. There have been many simulations about quantum computers2 and attempts to implement Shor’s algorithm...
for the constant ρ not depending on x and for every x \in \ell _{p}. The norm of Σ is the smallest possible value of ρ. The problem of finding the norm and the lower bound of operators on the matrix domains has been investigated in some of the references [7, 8, 10–12, 19...
Recently, several mathematical results and techniques related to the Nevanlinna-Pick interpolation problem have found important applications in a variety o... Georgiou T.T. - 《IEEE Transactions on Circuits & Systems》 被引量: 0发表: 1989年 [IEEE 26th IEEE Conference on Decision and Control - ...