Extending the classical Legendre's result, we describe all solutions of the inequality| xa/b|<
c/b^ 2 in terms of convergents of continued fraction expansion of x. Namely, we show that …

Using more than two factors in the modulus of the RSA cryptosystem has the arithmetic
advantage that the private key computations can be speeded up using Chinese …

The security on many public key encryption schemes relied on the intractability of finding the
integer factoring problem such as RSA scheme. However, there are great deals of …

Wiener's attack is a well-known polynomial-time attack on a RSA cryptosystem with small
secret decryption exponent d, which works if d< n 0.25, where n= pq is the modulus of the …

This paper includes survey on various research areas, such as efficient implementation of
RSA which includes RSA key generation, its application, different RSA variants, faster RSA …

RSA cryptosystem is the most popular public key cryptosystem which provides both secrecy
and digital signatures. Due to RSA's popularity, many attacks on it have been developed. In …

Improved RSA Algorithm Based on Cloud Database using Proth Number and Mersenne Prime
Number Page 1 © 2020 IJSRET 259 International Journal of Scientific Research & Engineering …

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-------------------The protection on many public key encoding schemes depended on the …

A Survey of Cryptanalytic Attacks on RSA Mathematics and Fundamental Applications Page 1
A Survey of Cryptanalytic Attacks on RSA Filipe da Costa Boucinha A Dissertation presented in …

A Gaussian prime is a Gaussian integer that cannot be expressed in the form of the product
of other Gaussian integers. The concept of Gaussian integer was introduced by Gauss [4] …