Paper 2021/1611 Original: eprint.iacr.org/2021/1611 ↗
Solving degree, last fall degree, and related invariants
Abstract
In this paper we study and relate several invariants connected to the solving degree of a polynomial system. This provides a rigorous framework for estimating the complexity of solving a system of polynomial equations via Groebner bases methods. Our main results include a connection between the solving degree and the last fall degree and one between the degree of regularity and the Castelnuovo-Mumford regularity.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2022-06-01: last updated
- 2021-12-10: published
- Short URL
- https://ia.cr/2021/1611
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/1611,
author = {Alessio Caminata and Elisa Gorla},
title = {Solving degree, last fall degree, and related invariants},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/1611},
year = {2021},
url = {https://eprint.iacr.org/2021/1611}
}