Results 51 to 60 of about 4,395 (144)

The Groebner basis of a polynomial system

open access: yes, 2014
From the Magister Thesis of Marco ...
Valqui, Christian, Solorzano, Marco
openaire   +2 more sources

Quantum computation of Groebner basis through F4 and F5 algorithms

open access: yes, 2022
Our main concern in this article is how to apply quantum algorithms to compute Groebner basis through Faugere's F4 and F5 algorithms, which are regarded as the most effective algorithms for this purpose. We give examples and pseudo-codes for these algorithms and investigate where we can apply quantum algorithms. As a result, we have the designs (or the
Ichio Kikuchi, Akihito Kikuchi
openaire   +2 more sources

Simple signature-based Groebner basis algorithm

open access: yes, 2012
This paper presents an algorithm for computing Groebner bases based upon labeled polynomials and ideas from the algorithm F5. The main highlights of this algorithm compared with analogues are simplicity both of the algorithm and of the its correctness proof achieved without loss of the efficiency.
openaire   +2 more sources

GB-hash : Hash Functions Using Groebner Basis

open access: yes, 2010
In this paper we present an improved version of HF-hash, viz., GB-hash : Hash Functions Using Groebner Basis. In case of HF-hash, the compression function consists of 32 polynomials with 64 variables which were taken from the first 32 polynomials of hidden field equations challenge-1 by forcing last 16 variables as 0.
Dey, Dhananjoy   +2 more
openaire   +2 more sources

Modified A-hypergeometric Systems

open access: yes, 2007
We will introduce a modified system of A-hypergeometric system (GKZ system) by applying a change of variables for Groebner deformations and study its Groebner basis and the indicial polynomials along the "exceptional hypersurface".Comment: 8 ...
Takayama, Nobuki
core   +4 more sources

Groebner basis methods for multichannel sampling with unknown offsets

open access: yesApplied and Computational Harmonic Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sbaiz, L., Vandewalle, P., Vetterli, M.
openaire   +3 more sources

Groebner basis

open access: yesScholarpedia, 2010
Joseph L. Awange   +3 more
openaire   +2 more sources

86th Annual Meeting of the Meteoritical Society (2024)

open access: yes
Meteoritics &Planetary Science, Volume 59, Issue S1, Page A1-A468, August 2024.
wiley   +1 more source

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