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Universal classes of hash functions. (English) Zbl 0412.68090

MSC:
68P20 Information storage and retrieval of data
68R99 Discrete mathematics in relation to computer science
68P05 Data structures
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[1] Aho, A.V.; Hopcroft, J.E.; Ullman, J.D., The design and analysis of computer algorithms, (1974), Addison-Wesley Reading, Mass · Zbl 0286.68029
[2] {\scR. FAGIN, J. NIEVERGELT, N. PIPPENGER, AND H. R. STRONG}, “Extendible Hashing: A Fast Access Method for Dynamic Files,” IBM Research Report RJ 2305.
[3] Gill, J.T., Computational complexity of probabilistic Turing machines, (), 91-95, Seattle, Wash.
[4] {\scE. Goto, Y. Kanada}, Hashing lemmas on time complexities with applications to formula manipulation, in “Proceedings of the 1976 ACM Symposium on Symbolic and Algebraic Computation,” Yorktown Heights, N. Y., pp. 149-153. · Zbl 0453.68011
[5] {\scF. GUSTAVSON AND D. Y. Y. YUN}, Arithmetic complexity of unordered or sparse polynomials, in “Proceedings of the 1976 ACM Symposium on Symbolic and Algebraic Computation,” Yorktown Heights, N. Y., pp. 154-159. · Zbl 0453.68012
[6] Knuth, D.E., ()
[7] {\scG. MARKOWSKY, J. L. CARTER, AND M. N. WEGMAN}, Analysis of a universal class of hash functions, in “Proceedings of the Seventh Mathematical Foundations of Computer Science Conference”, Lecture Notes in Computer Science, Vol. 64, Springer-Verlag, Berlin. · Zbl 0383.68079
[8] Rabin, M.O., Probabilistic algorithms, (), 21-39
[9] Rosenbaum, W.S.; Hilliard, J.J., Multifont OCR postprocessing system, IBM J. res. develop., 19, 398-421, (1975)
[10] {\scD. H. A. SMITH}, private communication.
[11] Solovay, R.; Strassena, V., A. fast Monte-Carlo test for primality, SIAM J. comput., 6, 84-86, (1977) · Zbl 0345.10002
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