English

The complexity of MinRank

Symbolic Computation 2022-03-11 v3 Cryptography and Security

Abstract

In this note, we leverage some of our results from arXiv:1706.06319 to produce a concise and rigorous proof for the complexity of the generalized MinRank Problem in the under-defined and well-defined case. Our main theorem recovers and extends previous results by Faug\`ere, Safey El Din, Spaenlehauer (arXiv:1112.4411).

Cite

@article{arxiv.1905.02682,
  title  = {The complexity of MinRank},
  author = {Alessio Caminata and Elisa Gorla},
  journal= {arXiv preprint arXiv:1905.02682},
  year   = {2022}
}

Comments

Final version. Theorem numbering adjusted to match the published version

R2 v1 2026-06-23T08:59:30.187Z