Group Digital Signature Scheme Based on the Elliptic Curve over Finite Field GF(2~n)
Zhou Li
Abstract
Zhou Li
Abstract
The group digital signature which is widely applied in the practice is a relatively new concept. Compared with other methods, the digital signature scheme based on the elliptic curve cryptosystem is more secure and more effective. A group digital signature scheme based on the disperse logarithm of the elliptic curve over the finite fields GF(2 n) is proposed in this paper. The security of the scheme is established on the elliptic curve cryptosystem over the finite field GF(2 n) .
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The group digital signature which is widely applied in the practice is a relatively new concept. Compared with other methods, the digital signature scheme based on the elliptic curve cryptosystem is more secure and more effective. A group digital signature scheme based on the disperse logarithm of the elliptic curve over the finite fields GF(2 n) is proposed in this paper. The security of the scheme is established on the elliptic curve cryptosystem over the finite field GF(2 n) .
Key concepts: Elliptic Curve Digital Signature Algorithm, Finite field, Digital signature, Discrete logarithm, Elliptic curve, Mathematics, ElGamal signature scheme, Elliptic curve cryptography