On the Power of 1-way Functions (Abstract)

نویسندگان

  • Stuart A. Kurtz
  • Stephen R. Mahaney
  • James S. Royer
چکیده

The earliest definition of 1-way function is due to Berman [Ber77], who considered polynomial-time computable, length-increasing, 11 functions that do not have a polynomialtime computable inverses. Recently, more powerful notions are considered, e.g., polynomialtime computable, length-increasing, 1-1 functions f such that the probability that a BPP algorithm can compute z from f(z) for a randomly selected z is superpolynomidly small [CYaS2]. Whatever definition is used, these functions are necessarily easy invert on some inputs:

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تاریخ انتشار 1988