[Resource Topic] 2021/1275: Counterexample to OWF Self-XOR Being a DOWF

Welcome to the resource topic for 2021/1275

Title:
Counterexample to OWF Self-XOR Being a DOWF

Authors: Nathan Geier

Abstract:

We study the effects of the XOR transformation, that is, f^{\oplus 2}(x_1,x_2):= f(x_1)\oplus f(x_2), on one-wayness. More specifically, we present an example showing that if one-way functions exist, there also exists a one-way function f such that f^{\oplus 2} is not even a distributional one-way function, demonstrating that one-wayness may severely deteriorate.

ePrint: https://eprint.iacr.org/2021/1275

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