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A cryptographic accumulator is a one way membership function. It answers a query as to whether a potential candidate is a member of a set without revealing the individual members of the set.

1 vote
Accepted

Dynamic accumulator with only non-membership witness

This is not a correct dynamic accumulator scheme. Your scheme assumes that the following holds: if $a,b$ are primes and $0< a,b < p$, then $$(a,b)=1 \implies (ab\mod p,a)\neq1. $$ If this is true, t …
István András Seres's user avatar
0 votes
Accepted

Exclusion proof cost

Pairing-based accumulator Damgard et al. creates non-membership proofs for pairing-based accumulators. …
István András Seres's user avatar
2 votes

Inclusion and Exclusion proofs in RSA accumulators

No and Yes! For the inclusion proof you either need the trapdoor or the accumulated set. However, it is possible to generate exclusion proofs without knowing the trapdoor, i.e. the factorization of th …
István András Seres's user avatar
2 votes

RSA Accumulators with auxiliary information or known trapdoor information

For the inclusion proof you might need the trapdoor or the accumulated set. The exclusion proof can be generated without knowing the trapdoor. See this related question and answer. How can one genera …
István András Seres's user avatar
1 vote

RSA accumulator exclusion proof without set

Are there any accumulators that do not require the knowledge of the full set for computing exclusion proofs ? The simplest example could be a sorted Merkle-tree used as an accumulator. …
István András Seres's user avatar