ElGamal — Applying Multiple Public Key Operations (ECC)

Prof Bill Buchanan OBE FRSE
2 min readMay 27, 2023

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We hardly ever use discrete logs these days, as Elliptic Curve Cryptography is just so much more efficient and faster. And, so I love converting discrete log proofs with Elliptic Curve methods. Basically, we convert a power into a multiplicative operation for the base point:

and where G is the base point of the curve. Then a multiplication is replaced with a point…

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Prof Bill Buchanan OBE FRSE

Professor of Cryptography. Serial innovator. Believer in fairness, justice & freedom. Based in Edinburgh. Old World Breaker. New World Creator. Building trust.