# ElGamal encryption - Wikipedia

The ElGamal system is a public-key cryptosystem based on the discrete logarithm problem. Applications of Public Public-Key Cryptosystems: Fig: 2.3.Public Key Encryption Process 12 It is important that device A receives the correct public key from device B, i.e. no middleman must tamper or change the public key to its public key. ElGamal encryption is an example of public-key or asymmetric cryptography. Cryptosystem was first described by Taher Elgamal in 1985. The vital piece of encrypting and decoding a cipher is knowing a key- a parameter that decides the. ElGamal T (1985) A public key cryptosystem and a signature scheme based on discrete logarithms. IEEE Trans Inf Theory 31:469–472 zbMATH MathSciNet CrossRef Google Scholar 2. Information Theory, vol. 31, no. 4, pp. 469-472, 1985. Ren-Chiun Wang, Wen-Shenq Juang, Chin-Laung Lei, A privacy and delegation-enhanced user authentication protocol for Portable. This is because asymmetric cryptosystems like Elgamal are usually slower than symmetric ones for the same level of security, so it is faster to encrypt the symmetric key …. Subject: Advances in Cryptology Keywords: discrete logarithms, ElGamal algorithm; ElGamal signature scheme; public key cryptosystem, constructions Created Date: 2/2/1999 11:50:00 PM. ElGamal Public Key Cryptography CS 303 Alg. Scheme public key Alice encrypt using public key Bob decrypt using private key encrypted message Andreas V. The security of the ElGamal cryptosystem relies on the intractability of computing discrete logarithms. 2.1 Homomorphic Properties of the ElGamal Encryption ElGamal encryption method, e r(x) = (γ,δ) where γ = αr mod p and δ = x·βr mod p, for some r ∈ Z∗ q, has homomorphic properties: • e r 1 (x 1)·e r 2 (x 2) = e r 1+r 2 (x 1. A diagram of a public key cryptosystem was given in Section 1 where we contrasted private. In 1985 a powerful and public-key scheme was produced by ElGamal. In 1985, Tahar Elgamal (b. 1955) published a public-key cryptosystem based upon another number theoretic problem: the discrete logarithm problem ("A public key cryptosystem and signature scheme based upon discrete logarithms," IEEE Transactions on Information Theory. The elliptic curve cryptosystem (ECC) was invented by N. It was described by Taher Elgamal in 1984. .

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In cryptography, the ElGamal encryption system is an asymmetric key encryption algorithm for public-key cryptography which is based on the Diffie–Hellman key exchange. ElGamal Encryption. ElGamal encryption is based on the Diffie-Hellman Key Exchange method. Nikita can now use her license file to unlock juno.wma. However, when she shares both juno.wma and the license file with Michael, he is frustrated because even with the license his computer still does not play juno.wma. ElGamal Public-key Cryptosystem in i&* Let p be a prime such that the discrete log problem in Z\$, is intractible, and let (Y E iZP* be a primitive element. Number Theory & Cryptography Jeremy Johnson Taher ElGamal, "A Public-Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms", IEEE Transactions on Information Theory, v. It was described by Taher. It is mainly used to establish common keys and not to encrypt messages. ElGamal is a public key cryptosystem based on the discrete logarithm problem for a group \( G \), i.e. every person has a key pair \( (sk, pk) \), where \( sk \) is the secret key and \( pk \) is the public key, and given only the public key one has to find the discrete logarithm (solve the discrete logarithm problem) to get the secret key. Math 373/578, Spring 2013 Ch 2.4 1 Section 2.4: ElGamal Public Key Cryptosystem (p68) (2.4A) ElGamal PKC: Developed by Taher ElGamal in 1985. Meier – The ElGamal Cryptosystem – p.5/23.Public Key Cryptography. The ElGamal cryptographic algorithm is a public key system like the Diffie-Hellman system.