Encyclopedia of Cryptography and Security

2005 Edition
| Editors: Henk C. A. van Tilborg

Trapdoor One-Way Function

  • Matt Robshaw
Reference work entry
DOI: https://doi.org/10.1007/0-387-23483-7_436

A trapdoor one-way function is a one-way function with an additional requirement. Informally, a one-way function might be described as a function for which evaluation in one direction is straightforward, while computation in the reverse direction is far more difficult. Such a function becomes a trapdoor one-way function when we add the requirement that computation in the reverse direction becomes straightforward when some additional (trapdoor) information is revealed [3].

While there are alternative descriptions [2] we might describe a trapdoor one-way function as a function f with domain X and range (codomain) Y where f (x) is ‘easy’ to compute for all \(x \in X\)

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References

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    Diffie, W. and M.E. Hellman (1976). “New directions in cryptography.” IEEE Transactions on Information Theory, 22, 644–654.zbMATHMathSciNetCrossRefGoogle Scholar
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    Massey, J.L. (1992). “Contemporary cryptology: An introduction.” Contemporary Cryptology, The Science of Information Integrity, ed. G.J. Simmons. IEEE Press, Piscataway, NJ.Google Scholar
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    Menezes, A.J., P.C. van Oorschot, and S.A. Vanstone (1997). Handbook of Applied Cryptography. CRC Press, Boca Raton, FL.zbMATHGoogle Scholar
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    Merkle, R.C. and M.E. Hellman (1978). “Hiding information and signatures in trapdoor knapsacks.” IEEE Transactions on Information Theory, 24, 525–530.CrossRefGoogle Scholar
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    Rivest, R.L., A. Shamir, and L.M. Adleman (1978). “A method for obtaining digital signatures and and public-key cryptosystems.” Communications of the ACM, 21, 120–126.zbMATHMathSciNetCrossRefGoogle Scholar
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    Yao, A.C. (1982). “Theory and applications of trapdoor functions.” Proceedings of the IEEE 23rd Annual Symposium on Foundations of Computer Science, 80–91.Google Scholar

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© International Federation for Information Processing 2005

Authors and Affiliations

  • Matt Robshaw

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