English

About one problem from NSUCRYPTO'2017 and the image of cubic function over binary fields

History and Overview 2019-12-16 v1 Number Theory

Abstract

The description of the image of cubic function f(x)=x3+xf(x) = x^3+x over finite field F2nF_{2^n} was stated as a problem in the NSUCrypto olympiad in 2017. This problem was marked by organizers as <<unsolved>>. In this work we propose the full solution of this problem.

Cite

@article{arxiv.1912.06486,
  title  = {About one problem from NSUCRYPTO'2017 and the image of cubic function over binary fields},
  author = {Alexey Chilikov},
  journal= {arXiv preprint arXiv:1912.06486},
  year   = {2019}
}

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in Russian

R2 v1 2026-06-23T12:45:10.159Z