Results 71 to 80 of about 523 (176)

GB-hash : Hash Functions Using Groebner Basis

open access: yesCoRR, 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   +3 more sources

Groebner Basis Techniques In Multidimensional Multirate Systems

open access: yes, 1995
The Euclidean algorithm is a frequently used tool in the analysis of one-dimensional (1D) multirate systems. This tool is however not available for multidimensional (MD) multirate systems.
Hyungju Park   +2 more
core  

Groebner basis

open access: yesScholarpedia, 2010
Bruno Buchberger, Manuel Kauers
openaire   +2 more sources

Groebner bases and algorithms

open access: yes, 2000
Let R be a polynomial ring in n variables over k and f be an element of R. An ideal I of R generated by s polynomials f_(1),···,f_(s) is denoted by ◁수식 삽입▷(원문을 참조하세요) In this thesis, we study definition of Groebner bases of ideals in R and investigate ...
김소영
core  

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

Small Groebner Fans of Ideals of Points

open access: yes, 2019
In the context of modeling biological systems, it is of interest to generate ideals of points with a unique reduced Groebner basis, and the first main goal of this paper is to identify classes of ideals in polynomial rings which share this property ...
Dimitrova, Elena   +3 more
core   +1 more source

A Groebner basis approach to solve a Conjecture of Nowicki

open access: yesJournal of Symbolic Computation, 2008
Let \(R\) be a UFD containing \(\mathbb{Q}\) and \(B=R[Y_1,\dots,Y_m]\) be a polynomial ring over \(R\). A derivation \(d:B\to B\) is an \textit{\(R\)-derivation} if \(d(r)=0\) for any \(r\in R\). An \(R\)-derivation is called elementary one may choose generators \(Y_i\) is such a way that \(d(Y_i)\in R\) for any \(i=1,\dots,m\). In this case we have \(
openaire   +1 more source

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