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Zero-knowledge protocols

Zero-knowledge protocols #

Here, we provide uniform, detailed descriptions to several zero-knowledge protocols. We include: necessary setup, security pitfalls and associated severity, safe parameter choices, and original references.

Schnorr's identification protocol
The zero-knowledge proof for a discrete-logarithm in a prime modulo.
Variants of Schnorr's identification protocol
Common variants of Schnorr’s protocol.
Number is product of two primes
Prove that a number is the product of two primes. We show two proofs of this: one for generic primes, and another, more efficient, when primes are congruent with 3 modulo 4.
Girault's identification protocol
A statistical zero-knowledge proof for discrete-logarithm in a composite modulo.
Short factoring proofs
Proof of knowledge of the factorization of an integer.
Inner Product Argument
Proving the knowledge of vectors for a public inner product