Search results for "gröbner"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
131	Stéphane Collart, Daniel Mall	A combinatorial result on Gröbner Fans with an application to universal Gröbner bases.	Appl. Algebra Eng. Commun. Comput.	1996	DBLP DOI BibTeX RDF	Fan, Gröbner fan, Gröbner basis, universal Gröbner basis, Gröbner system, Buchberger algorithm, Gröbner filling algorithm
117	Volker Weispfenning	Canonical comprehensive Gröbner bases.	ISSAC	2002	DBLP DOI BibTeX RDF
111	Akira Suzuki, Yosuke Sato	A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases.	ISSAC	2006	DBLP DOI BibTeX RDF	Gröbner basis, Gröbner system, comprehensive Gröbner basis
99	David A. Cox 0001	Gröbner bases: a sampler of recent developments.	ISSAC	2007	DBLP DOI BibTeX RDF	Gröbner bases, elimination theory
95	Meng Zhou 0001, Franz Winkler 0001	On Computing Gröbner Bases in Rings of Differential Operators with Coefficients in a Ring.	Math. Comput. Sci.	2007	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000). 16-04
92	Katsusuke Nabeshima	A speed-up of the algorithm for computing comprehensive Gröbner systems.	ISSAC	2007	DBLP DOI BibTeX RDF	Gröbner bases, comprehensive Gröbner bases
88	Gwénolé Ars, Jean-Charles Faugère, Hideki Imai, Mitsuru Kawazoe, Makoto Sugita	Comparison Between XL and Gröbner Basis Algorithms.	ASIACRYPT	2004	DBLP DOI BibTeX RDF	Multivariate polynomial equations, Solving Systems, Gröbner basis, Semi-regular Sequences, Algebraic attacks, XL algorithm
85	Yosuke Kurata, Masayuki Noro	Computation of discrete comprehensive Gröbner bases using modular dynamic evaluation.	ISSAC	2007	DBLP DOI BibTeX RDF	comprehensive gröbner bases, comprehensive gröbner systems, discrete comprehensive gröbner bases, dynamic evaluation, modular dynamic evaluation, von neumann regular rings
83	Katsusuke Nabeshima	A Direct Products of Fields Approach to Comprehensive Gröbner Bases over Finite Fields.	SYNASC	2005	DBLP DOI BibTeX RDF
80	Anders Nedergaard Jensen	A Presentation of the Gfan Software.	ICMS	2006	DBLP DOI BibTeX RDF
80	Qiang Li, Yike Guo, John Darlington, Tetsuo Ida	Minimised Geometric Buchberger Algorithm for Integer Programming.	Ann. Oper. Res.	2001	DBLP DOI BibTeX RDF
76	Johannes Buchmann 0001, Andrei Pyshkin, Ralf-Philipp Weinmann	A Zero-Dimensional Gröbner Basis for AES-128.	FSE	2006	DBLP DOI BibTeX RDF	Gröbner bases, block ciphers, AES, Rijndael
76	Wei Pan, Dongming Wang 0001	Uniform Gröbner bases for ideals generated by polynomials with parametric exponents.	ISSAC	2006	DBLP DOI BibTeX RDF	Buchberger graph, consistency condition, parametric exponent, uniform Gröbner basis, biological modeling, polynomial ideal
76	Klaus Madlener, Birgit Reinert	A Generalization of Gröbner Basis Algorithms to Nilpotent Group Rings.	Appl. Algebra Eng. Commun. Comput.	1997	DBLP DOI BibTeX RDF	Gröbner bases, Nilpotent group rings, Rewriting
76	Philippe Loustaunau, Eric V. York	On the Decoding of Cyclic Codes Using Gröbner Bases.	Appl. Algebra Eng. Commun. Comput.	1997	DBLP DOI BibTeX RDF	Gröbner basis, Zero-dimensional ideals, Decoding, Cyclic codes
76	Rekha R. Thomas, Robert Weismantel	Truncated Gröbner Bases for Integer Programming.	Appl. Algebra Eng. Commun. Comput.	1997	DBLP DOI BibTeX RDF	Toric ideal, Truncated Gröbner bases, Truncated Buchberger algorithm, Multivariate grading, Integer programming
73	Tateaki Sasaki, Fujio Kako	Computing floating-point gröbner bases stably.	SNC	2007	DBLP DOI BibTeX RDF	Gröbner base, approximate Gröbner base, floating-point Gröbner base, stabilization
72	Shutaro Inoue	On the Computation of Comprehensive Boolean Gröbner Bases.	CASC	2009	DBLP DOI BibTeX RDF
72	Johannes Buchmann 0001, Andrei Pyshkin, Ralf-Philipp Weinmann	Block Ciphers Sensitive to Gröbner Basis Attacks.	CT-RSA	2006	DBLP DOI BibTeX RDF
72	Akira Suzuki, Yosuke Sato	An alternative approach to comprehensive Gröbner bases.	ISSAC	2002	DBLP DOI BibTeX RDF
72	Thierry Coquand, Henrik Persson	Gröbner Bases in Type Theory.	TYPES	1998	DBLP DOI BibTeX RDF
69	Elena S. Dimitrova, Abdul Salam Jarrah, Reinhard C. Laubenbacher, Brandilyn Stigler	A Gröbner fan method for biochemical network modeling.	ISSAC	2007	DBLP DOI BibTeX RDF	gröbner bases, gröbner fan, monomial orderings, polynomial dynamical systems, reverse engineering, model selection, computational algebra, network inference
69	Antonio Montes, Tomás Recio	Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems.	Automated Deduction in Geometry	2006	DBLP DOI BibTeX RDF	automatic discovering, comprehensive Gröbner system, canonical Gröbner system, automatic theorem proving
65	Michael Brickenstein, Alexander Dreyer	Gröbner-free normal forms for boolean polynomials.	ISSAC	2008	DBLP DOI BibTeX RDF	boolean polynomials, gröbner, interpolation, normal forms
65	Laureano González-Vega, Carlo Traverso, Alberto Zanoni	Hilbert Stratification and Parametric Gröbner Bases.	CASC	2005	DBLP DOI BibTeX RDF	Gröbner bases, Hilbert function, Specialization
61	Martin Byröd, Klas Josephson, Kalle Åström	Fast and Stable Polynomial Equation Solving and Its Application to Computer Vision.	Int. J. Comput. Vis.	2009	DBLP DOI BibTeX RDF	Gröbner basis, Structure from motion, Polynomial equations, Minimal problems
61	François Boulier, François Lemaire	Computing canonical representatives of regular differential ideals.	ISSAC	2000	DBLP DOI BibTeX RDF	Rosenfeld-Gröbner, canonical representatives, characteristic presentations, lextriangular, regular differential ideal, differential algebra, characteristic sets
61	Sabine Stifter	Algebraic methods for computing inverse kinematics.	J. Intell. Robotic Syst.	1994	DBLP DOI BibTeX RDF	Gröbner bases, algebraic system solving, Inverse kinematics
61	Kosaku Nagasaka	A Study on Gröbner Basis with Inexact Input.	CASC	2009	DBLP DOI BibTeX RDF
61	Peter Ackermann, Martin Kreuzer	Gröbner Basis Cryptosystems.	Appl. Algebra Eng. Commun. Comput.	2006	DBLP DOI BibTeX RDF	Mathematics Subject Classification (1991) Primary 94A60, Secondary 11T71, 16-08, 13P10
61	Akira Suzuki	Computation of Full Comprehensive Gröbner Bases.	CASC	2005	DBLP DOI BibTeX RDF
61	XueFeng Chen, Peng Li, Long Lin, DingKang Wang	Proving Geometric Theorems by Partitioned-Parametric Gröbner Bases.	Automated Deduction in Geometry	2004	DBLP DOI BibTeX RDF
61	Massimo Caboara, Teo Mora	The Chen-Reed-Helleseth-Truong Decoding Algorithm and the Gianni-Kalkbrenner Gröbner Shape Theorem.	Appl. Algebra Eng. Commun. Comput.	2002	DBLP DOI BibTeX RDF
61	Bruno Buchberger	Gröbner Bases: A Short Introduction for Systems Theorists.	EUROCAST	2001	DBLP DOI BibTeX RDF
61	Shojiro Sakata	A Gröbner Basis and a Minimal Polynominal Set of a Finite nD Array.	AAECC	1990	DBLP DOI BibTeX RDF
61	Dallas Lankford	Generalized Gröbner Bases: Theory and Applications. A Condensation.	RTA	1989	DBLP DOI BibTeX RDF
61	Bruno Buchberger	Applications of Gröbner Bases in Non-linear Computational Geometry.	Trends in Computer Algebra	1987	DBLP DOI BibTeX RDF
57	Xavier Dahan	Size of coefficients of lexicographical Groöbner bases: the zero-dimensional, radical and bivariate case.	ISSAC	2009	DBLP DOI BibTeX RDF	gr?bner bases, space complexity, triangular sets
57	Douglas A. Leonard	Using Gröbner Bases to Investigate Flag Algebras and Association Scheme Fusion.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
57	Danilo Gligoroski, Vesna Dimitrova, Smile Markovski	Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Danilo Gligoroski, Smile Markovski, Svein Johan Knapskog	A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Eleonora Guerrini, Emmanuela Orsini, Ilaria Simonetti	Gröbner Bases for the Distance Distribution of Systematic Codes.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Frederik Armknecht, Gwénolé Ars	Algebraic Attacks on Stream Ciphers with Gröbner Bases.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Marta Giorgetti	About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Kristine Lally	Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Douglas A. Leonard	A Tutorial on AG Code Construction from a Gröbner Basis Perspective.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Teo Mora	Gröbner Technology.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Douglas A. Leonard	A Tutorial on AG Code Decoding from a Gröbner Basis Perspective.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Stanislav Bulygin, Ruud Pellikaan	Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Eimear Byrne, Teo Mora	Gröbner Bases over Commutative Rings and Applications to Coding Theory.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Carlos Cid, Ralf-Philipp Weinmann	Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Massimiliano Sala	Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
57	Bálint Felszeghy, Lajos Rónyai	Some Meeting Points of Gröbner Bases and Combinatorics.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
53	Mijail Borges-Quintana, Miguel A. Borges-Trenard, Patrick Fitzpatrick, Edgar Martínez-Moro	Gröbner bases and combinatorics for binary codes.	Appl. Algebra Eng. Commun. Comput.	2008	DBLP DOI BibTeX RDF	Cycle bases, Gröbner bases, Binary codes
53	Peizhong Lu, Yan Zou	Fast computation of Gröbner basis of homogenous ideals of \mathbbF \mathbb{F} [ x, y ].	Sci. China Ser. F Inf. Sci.	2008	DBLP DOI BibTeX RDF	homogenous ideal, Gröbner basis, sequence synthesis, Berlekamp-Massey algorithm
53	Henry O'Keeffe, Patrick Fitzpatrick	Gröbner basis approach to list decoding of algebraic geometry codes.	Appl. Algebra Eng. Commun. Comput.	2007	DBLP DOI BibTeX RDF	Gröbner bases, Polynomial modules, Error correcting codes, List decoding, Algebraic geometry codes
53	Shutaro Inoue, Yosuke Sato	On the parallel computation of comprehensive Gröbner systems.	PASCO	2007	DBLP DOI BibTeX RDF	comprehensive Gröbner system
53	Meng Zhou 0001, Franz Winkler 0001	Gröbner bases in difference-differential modules.	ISSAC	2006	DBLP DOI BibTeX RDF	Gröbner basis, difference and differential operators
53	Abdolali Basiri, Jean-Charles Faugère	Changing the ordering of Gröbner bases with LLL: case of two variables.	ISSAC	2003	DBLP DOI BibTeX RDF	Gröbner basis, reduced lattice basis, complexity, LLL
53	Patrik Nordbeck	On the Finiteness of Gröbner Bases Computation in Quotients of the Free Algebra.	Appl. Algebra Eng. Commun. Comput.	2001	DBLP DOI BibTeX RDF	Non-commutative algebras, Gröbner bases, Dickson's lemma, Noetherianity, Syzygies
50	Yosuke Sato, Akira Nagai, Shutaro Inoue	On the Computation of Elimination Ideals of Boolean Polynomial Rings.	ASCM	2007	DBLP DOI BibTeX RDF	Boolean Gröbner Bases
50	Jintai Ding, Jason E. Gower, Dieter Schmidt, Christopher Wolf, Zhijun Yin	Complexity Estimates for the F4 Attack on the Perturbed Matsumoto-Imai Cryptosystem.	IMACC	2005	DBLP DOI BibTeX RDF	Gröbner basis, public-key, perturbation, multivariate, quadratic polynomials
49	Martin Byröd, Klas Josephson, Kalle Åström	A Column-Pivoting Based Strategy for Monomial Ordering in Numerical Gröbner Basis Calculations.	ECCV (4)	2008	DBLP DOI BibTeX RDF
49	Christopher Condrat, Priyank Kalla	A Gröbner Basis Approach to CNF-Formulae Preprocessing.	TACAS	2007	DBLP DOI BibTeX RDF
49	Jianping Zhou, Minh N. Do	Multidimensional Multichannel FIR Deconvolution Using Gröbner Bases.	IEEE Trans. Image Process.	2006	DBLP DOI BibTeX RDF
49	Nobuki Takayama	Gröbner Basis, Integration and Transcendental Functions.	ISSAC	1990	DBLP DOI BibTeX RDF
46	Beatrice Amrhein, Oliver Gloor, Wolfgang Küchlin	Walking Faster.	DISCO	1996	DBLP DOI BibTeX RDF
46	Bruno Buchberger	Algebraic Methods for Non-Linear Computational Geometry (Invited Address).	SCG	1988	DBLP DOI BibTeX RDF
42	Per Olov Lindberg, Lars Svensson	Gröbner Bases for Polynomial Equations.	Encyclopedia of Optimization	2009	DBLP DOI BibTeX RDF	Gröbner basis, Zeros, Polynomial equations
42	Massimo Caboara, Fabrizio Caruso, Carlo Traverso	Gröbner bases for public key cryptography.	ISSAC	2008	DBLP DOI BibTeX RDF	gröbner basis, lattice, public key cryptosystem, hermite normal form
42	Iyad A. Ajwa	A case study of Grid Computing and computer algebra: parallel Gröbner Bases and Characteristic Sets.	J. Supercomput.	2007	DBLP DOI BibTeX RDF	Gröbner bases, Grid Computing, Computer algebra, Characteristic Sets
42	Peizhong Lu, Yan Zou	Fast Computations of Gröbner Bases and Blind Recognitions of Convolutional Codes.	WAIFI	2007	DBLP DOI BibTeX RDF	Gröbner basis, sequence synthesis, blind recognition of convolutional code, Berlekamp-Massey algorithm
42	Andrea Sattler-Klein	An Exponential Lower Bound for Prefix Gröbner Bases in Free Monoid Rings.	STACS	2007	DBLP DOI BibTeX RDF	Gröbner bases, algorithms, computational complexity, rewriting
42	Waldyr D. Benits Junior, Steven D. Galbraith	Constructing Pairing-Friendly Elliptic Curves Using Gröbner Basis Reduction.	IMACC	2007	DBLP DOI BibTeX RDF	Pairing-friendly elliptic curves, Gröbner bases
42	Alexander B. Levin	Gröbner bases with respect to several term orderings and multivariate dimension polynomials.	ISSAC	2007	DBLP DOI BibTeX RDF	Gröbner basis, differential field extension, dimension polynomial, ore polynomials, p-dimensional ltration
42	Daniel Mall	On the Relation Between Gröbner and Pommaret Bases.	Appl. Algebra Eng. Commun. Comput.	1998	DBLP DOI BibTeX RDF	Pommaret bases, Gröbner bases, Stable ideals, Borel ideals
42	Matan Ziv-Av	Computer Aided Investigation of Total Graph Coherent Configurations for Two Infinite Families of Classical Strongly Regular Graphs.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Ronen Peretz	The 2-dimensional Jacobian Conjecture: A Computational Approach.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Ralf Gugisch	A Construction of Isomorphism Classes of Oriented Matroids.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Leif K. Jørgensen	Algorithmic Approach to Non-symmetric 3-class Association Schemes.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Izumi Miyamoto	A Construction of Designs from PSL(2, q) and PGL(2, q), q=1 mod 6, on q+2 Points.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Christian Pech, Sven Reichard	Enumerating Set Orbits.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Mikhail H. Klin, Sven Reichard, Andrew J. Woldar	Siamese Combinatorial Objects via Computer Algebra Experimentation.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Axel Kohnert	Sets of Type (d 1, d 2) in Projective Hjelmslev Planes over Galois Rings.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Aiso Heinze, Mikhail H. Klin	Loops, Latin Squares and Strongly Regular Graphs: An Algorithmic Approach via Algebraic Combinatorics.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	G. Eric Moorhouse	Approaching Some Problems in Finite Geometry Through Algebraic Geometry.	Algorithmic Algebraic Combinatorics and Gröbner Bases	2009	DBLP DOI BibTeX RDF
42	Olav Geil	Algebraic Geometry Codes from Order Domains.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Heide Gluesing-Luerssen, Barbara Langfeld, Wiland Schmale	A Short Introduction to Cyclic Convolutional Codes.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Shojiro Sakata	The BMS Algorithm.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Teo Mora	The FGLM Problem and Möller's Algorithm on Zero-dimensional Ideals.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	John B. Little	Automorphisms and Encoding of AG and Order Domain Codes.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Françoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret, Carlo Traverso	A Survey on Polly Cracker Systems.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Eleonora Guerrini, Anna Rimoldi	FGLM-Like Decoding: from Fitzpatrick's Approach to Recent Developments.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Shojiro Sakata	The BMS Algorithm and Decoding of AG Codes.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Edgar Martínez-Moro, Diego Ruano	Mattson Solomon Transform and Algebra Codes.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Marcus Greferath	An Introduction to Ring-Linear Coding Theory.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Jon-Lark Kim	A Prize Problem in Coding Theory.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Gretchen L. Matthews	Viewing Multipoint Codes as Subcodes of One-Point Codes.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Peter Beelen, Kristian Brander	Decoding Folded Reed-Solomon Codes Using Hensel-Lifting.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF
42	Olivier Billet, Jintai Ding	Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography.	Gröbner Bases, Coding, and Cryptography	2009	DBLP DOI BibTeX RDF