English

Quantum Equivalence of the DLP and CDHP for Group Actions

Cryptography and Security 2021-07-27 v2

Abstract

In this short note we give a polynomial-time quantum reduction from the vectorization problem (DLP) to the parallelization problem (CDHP) for group actions. Combined with the trivial reduction from par-allelization to vectorization, we thus prove the quantum equivalence of both problems.

Keywords

Cite

@article{arxiv.1812.09116,
  title  = {Quantum Equivalence of the DLP and CDHP for Group Actions},
  author = {Steven Galbraith and Lorenz Panny and Benjamin Smith and Frederik Vercauteren},
  journal= {arXiv preprint arXiv:1812.09116},
  year   = {2021}
}