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Which algorithm is based on discrete logarithm problem?

Which algorithm is based on discrete logarithm problem?

The algorithm that we will use here is the ElGamal encryption algorithm. Taher ElGamal was the first mathematician to propose a public-key cryptosystem based on the Discrete Logarithm Problem (DLP).

How do you solve a discrete logarithm?

Finding a discrete logarithm can be very easy. For example, say G = Z/mZ and g = 1. More specifically, say m = 100 and t = 17. Then logg t = 17 (or more precisely 17 mod 100).

What is discrete logarithm in network security?

Logarithms for Modular Arithmetic With ordinary positive real numbers, the logarithm function is the inverse of exponentiation. This exponent i is referred to as the discrete logarithm of the number b for the base a (mod p). We denote this value as dloga.p(b). Many texts refer to the discrete logarithm as the index.

How do you find a discrete log on a calculator?

Type 7 in the Base input box, 23 in the Power input box and 43241 in the Mod input box. Then press the button named “Discrete logarithm”. The result is 3360 + 3930 k. As a check you can compute 73360 ≡ 23 (mod 43241) and 73930 ≡ 1 (mod 43241).

Is RSA based on discrete logarithm?

RSA labs makes a similar statement: The discrete logarithm problem bears the same relation to these systems as factoring does to the RSA system: the security of these systems rests on the assumption that discrete logarithms are difficult to compute.

What is the discrete logarithm to the base 13 MOD 19 for a 13?

4. What is the Discrete logarithm to the base 13 (mod 19) for a =13? Explanation: log_13(13) mod 19 = 1.

Does RSA use discrete logarithm?

What is elliptic curve discrete logarithm?

The elliptic curve discrete logarithm problem (ECDLP) is the following computational problem: Given points P, Q ∈ E(Fq) to find an integer a, if it exists, such that Q = aP. We focus on the case of elliptic curves, but occasionally this involves mention of higher genus curves and their divisor class groups.

What is discrete algorithm?

The discrete logarithm problem is considered to be computationally intractable. That is, no efficient classical algorithm is known for computing discrete logarithms in general. A general algorithm for computing logb a in finite groups G is to raise b to larger and larger powers k until the desired a is found.

What is the discrete logarithm to the base 2 mod 19 for a 7?

8. What is the Discrete logarithm to the base 2 (mod 19) for a =7? Explanation: log_2(7) mod 19 = 6. Explanation: 41 is a prime.

Which algorithm provide the private key and its corresponding public key?

Explanation: The key generation algorithm selects private key randomly from a set of possible private keys. This algorithm provides the private key and its corresponding public key.

What type of encryption algorithm is RSA?

RSA algorithm is asymmetric cryptography algorithm. Asymmetric actually means that it works on two different keys i.e. Public Key and Private Key. As the name describes that the Public Key is given to everyone and Private key is kept private.

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Ruth Doyle