TY - GEN
T1 - Amplifying collision resistance
T2 - 27th Annual International Cryptology Conference, CRYPTO 2007
AU - Canetti, Ran
AU - Rivest, Ron
AU - Sudan, Madhu
AU - Trevisan, Luca
AU - Vadhan, Salil
AU - Wee, Hoeteck
PY - 2007
Y1 - 2007
N2 - We initiate a complexity-theoretic treatment of hardness amplification for collision-resistant hash functions, namely the transformation of weakly collision-resistant hash functions into strongly collision-resistant ones in the standard model of computation. We measure the level of collision resistance by the maximum probability, over the choice of the key, for which an efficient adversary can find a collision. The goal is to obtain constructions with short output, short keys, small loss in adversarial complexity tolerated, and a good trade-off between compression ratio and computational complexity. We provide an analysis of several simple constructions, and show that many of the parameters achieved by our constructions are almost optimal in some sense.
AB - We initiate a complexity-theoretic treatment of hardness amplification for collision-resistant hash functions, namely the transformation of weakly collision-resistant hash functions into strongly collision-resistant ones in the standard model of computation. We measure the level of collision resistance by the maximum probability, over the choice of the key, for which an efficient adversary can find a collision. The goal is to obtain constructions with short output, short keys, small loss in adversarial complexity tolerated, and a good trade-off between compression ratio and computational complexity. We provide an analysis of several simple constructions, and show that many of the parameters achieved by our constructions are almost optimal in some sense.
KW - Collision resistance
KW - Combiners
KW - Hardness amplification
KW - Hash functions
UR - http://www.scopus.com/inward/record.url?scp=38049123011&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-74143-5_15
DO - 10.1007/978-3-540-74143-5_15
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AN - SCOPUS:38049123011
SN - 9783540741428
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 264
EP - 283
BT - Advances in Cryptology - CRYPTO 2007 - 27th Annual International Cryptology Conference, Proceedings
PB - Springer Verlag
Y2 - 19 August 2007 through 23 August 2007
ER -