TY - GEN

T1 - On the complexity of constant round ZKIP of possession of knowledge

AU - Itoh, Toshiya

AU - Sakurai, Kouichi

PY - 1993

Y1 - 1993

N2 - In this paper, we show that if a relation R has a three move blackbox simulation zero-knowledge interactive proof system of possession of knowledge, then there exists a probabilistic polynomial time algorithm that on input x ∈ {0,1}*, outputs y such that (x, y) ∈ R with overwhelming probability if x ∈ dom R, and outputs “⊥” with probability 1 if x ∉ dom R. In the present paper, we also show that without any unproven assumption, there exists a four move blackbox simulation perfect zero-knowledge interactive proof system of possession of the prime factorization, which is optimal in the light of the round complexity.

AB - In this paper, we show that if a relation R has a three move blackbox simulation zero-knowledge interactive proof system of possession of knowledge, then there exists a probabilistic polynomial time algorithm that on input x ∈ {0,1}*, outputs y such that (x, y) ∈ R with overwhelming probability if x ∈ dom R, and outputs “⊥” with probability 1 if x ∉ dom R. In the present paper, we also show that without any unproven assumption, there exists a four move blackbox simulation perfect zero-knowledge interactive proof system of possession of the prime factorization, which is optimal in the light of the round complexity.

UR - http://www.scopus.com/inward/record.url?scp=84879820140&partnerID=8YFLogxK

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U2 - 10.1007/3-540-57332-1_28

DO - 10.1007/3-540-57332-1_28

M3 - Conference contribution

AN - SCOPUS:84879820140

SN - 9783540573326

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 331

EP - 345

BT - Advances in Cryptology ─ ASIACRYPT 1991 - International Conference on the Theory and Application of Cryptology, Proceedings

A2 - Imai, Hideki

A2 - Matsumoto, Tsutomu

A2 - Rivest, Ronald L.

PB - Springer Verlag

T2 - 1st International Conference on the Theory and Application of Cryptology, ASIACRYPT 1991

Y2 - 11 November 1991 through 14 November 1991

ER -