Sparse FGLM algorithms

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Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
Title Journal Journal Categories Citations Publication Date
Using Symmetries in the Index Calculus for Elliptic Curves Discrete Logarithm Journal of Cryptology
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 7 2013
The Correction Capability of the Berlekamp–Massey–Sakata Algorithm with Majority Voting Applicable Algebra in Engineering, Communication and Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
 14 2006
Algebraic-geometric codes and multidimensional cyclic codes: a unified theory and algorithms for decoding using Grobner bases IEEE Transactions on Information Theory
  • Science: Science (General): Cybernetics: Information theory
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 33 2002
A new efficient algorithm for computing Gröbner bases (F4) Journal of Pure and Applied Algebra
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1999
Solving Zero-Dimensional Systems Through the Rational Univariate Representation Applicable Algebra in Engineering, Communication and Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
 142 1999
Citations
Title Journal Journal Categories Citations Publication Date
Symmetry in multivariate ideal interpolation Journal of Symbolic Computation
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 1 2023
Modular Matrix Multiplication on GPU for Polynomial System Solving

 ACM Communications in Computer Algebra 2023
Symbolic computation for the qualitative theory of differential equations Acta Mathematica Scientia
  • Science: Mathematics
 2022
Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems Journal of Algebra
  • Science: Mathematics
 2022
Polynomial-division-based algorithms for computing linear recurrence relations Journal of Symbolic Computation
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 1 2022
Citations Analysis
Category Category Repetition
Science: Mathematics11
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods9
Technology: Engineering (General). Civil engineering (General)9
Science: Mathematics: Instruments and machines: Electronic computers. Computer science8
Science: Science (General): Cybernetics: Information theory1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication1
The category Science: Mathematics 11 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Parametric FGLM algorithm and was published in 2017. The most recent citation comes from a 2023 study titled Modular Matrix Multiplication on GPU for Polynomial System Solving. This article reached its peak citation in 2022, with 4 citations. It has been cited in 6 different journals. Among related journals, the Journal of Symbolic Computation cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year