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ElGamal: discrete-logarithm encryption and signature constructions

ElGamal turns a Diffie–Hellman-style shared value into a randomized public-key encryption construction and gives a separate signature/verification relation over a prime finite field.

What is recorded here?

ElGamal turns a Diffie–Hellman-style shared value into a randomized public-key encryption construction and gives a separate signature/verification relation over a prime finite field. Fresh secret randomness produces different ciphertext pairs, while signatures can be checked with a public key. The original conference paper analyzes costs and limitations rather than granting an unconditional proof against every attack.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

This target is CRYPTO'84 proceedings pages 10–18, published 1985; the journal edition is not another credited contribution. The paper explicitly leaves general signature-breaking/discrete-log equivalence unproved, requires fresh nonce use and notes a forgery/message-structure caveat. Historical hardness estimates are not current deployment guidance, modern chosen-ciphertext security or post-quantum protection.

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People and systems

Taher ElGamal

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English catalogue narrative

ElGamal: discrete-logarithm encryption and signature constructions

ElGamal turns a Diffie–Hellman-style shared value into a randomized public-key encryption construction and gives a separate signature/verification relation over a prime finite field.

Fresh secret randomness produces different ciphertext pairs, while signatures can be checked with a public key. The original conference paper analyzes costs and limitations rather than granting an unconditional proof against every attack.

Scientific scope

This target is CRYPTO'84 proceedings pages 10–18, published 1985; the journal edition is not another credited contribution. The paper explicitly leaves general signature-breaking/discrete-log equivalence unproved, requires fresh nonce use and notes a forgery/message-structure caveat. Historical hardness estimates are not current deployment guidance, modern chosen-ciphertext security or post-quantum protection.

People and systems

Taher ElGamal

Original sources