Problem 1: Implement ElGamal system Your code will accept prime p and a generator a. Then a user will pick either key generation (k), message signature (s) or message verification (v) option. Key generation: program will randomly pick a secret X₂ and output private and public key. Message signature: user will provide m. Program will use random k. You should use EEA to computer k-¹. Output (S₁, S2). Instead of using H(m), just use m. So for us H(m)-m identity function. This will make computations slower as value of m can be large. Message verification: user provides all required information and program will decide if the signature is valid.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Using python, how do I implement ElGamal system?

Problem 1:
Implement ElGamal system
Your code will accept prime p and a generator a. Then a user will pick either key generation (k),
message signature (s) or message verification (v) option.
Key generation: program will randomly pick a secret X, and output private and public key.
Message signature: user will provide m. Program will use random k. You should use EEA to
computer k-¹. Output (S₁, S₂). Instead of using H(m), just use m. So for us H(m)-m identity function.
This will make computations slower as value of m can be large.
Message verification: user provides all required information and program will decide if the signature
is valid.
Transcribed Image Text:Problem 1: Implement ElGamal system Your code will accept prime p and a generator a. Then a user will pick either key generation (k), message signature (s) or message verification (v) option. Key generation: program will randomly pick a secret X, and output private and public key. Message signature: user will provide m. Program will use random k. You should use EEA to computer k-¹. Output (S₁, S₂). Instead of using H(m), just use m. So for us H(m)-m identity function. This will make computations slower as value of m can be large. Message verification: user provides all required information and program will decide if the signature is valid.
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