Elliptic Curve Cryptography
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The new protocol blind digital signature based on the discrete logarithm problem on elliptic curve
In recent years it has been trying that with regard to the question of computational complexity of discrete logarithm more strength and less in the elliptic curve than other hard issues, applications such as elliptic curve cryptography, a blind digital signature method, other methods such as encryption replacement DLP. In this paper, a new blind digital signature scheme based on elliptic curve...
متن کاملEfficient elliptic curve cryptosystems
Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...
متن کاملElliptic curve cryptography
Public-key cryptography is based on the intractability of certain mathematical problems. Early public-key systems, such as the RSA algorithm, are secure assuming that it is difficult to factor a large integer composed of two or more large prime factors. For elliptic-curve-based protocols, it is assumed that finding the discrete logarithm of a random elliptic curve element with respect to a publ...
متن کاملAn FPGA implementation of elliptic curve cryptography for future secure web transaction
Elliptic curve cryptography (ECC) is an alternative to traditional techniques for public key cryptography. It offers smaller key size without sacrificing security level. In a typical elliptic curve cryptosystem, elliptic curve point multiplication is the most computationally expensive component. So it would be more attractive to implement this unit using hardware than using software. In this pa...
متن کاملAttacks on Elliptic Curve Cryptography Discrete Logarithm Problem ( EC - DLP )
This paper provides an overview of elliptic curves and their use in cryptography. The purpose of this paper is an in-depth examination of the Elliptic Curve Discrete Logarithm (ECDLP) including techniques in attacking cryptosystems dependent on the ECDLP. The paper includes properties of elliptic curve and methods for various attacks.
متن کاملSoftware Implementations of Elliptic Curve Cryptography
Elliptic Curve Cyrptography has gained a lot of significance in recent times. This is mostly due to the small key sizes associated with Elliptic Curve Cryptograhic systems. This paper presents a study of various algorithms for performing underlying field arithmetic and point representation useful in software implementations of Elliptic curve cyptography over prime fileds as well as binary fields.
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