Simultaneously satisfying linear equations over F2: MaxLin2 and Max-r-Lin2 parameterized above average

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作者：

Royal Holloway, University of London Egham, Surrey-TW20 0EX, United Kingdom ^{[1
]}

不详 ^{[2
]}

不详 ^{[3
]}

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来源：

Leibniz Int. Proc. Informatics, LIPIcs | / 229-240期

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D O I：

31st International Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2011

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摘要：

Parameterization - Polynomials

引用

共 30 条

[21] A New Sparse Gaussian Elimination Algorithm and the Niederreiter Linear System for Trinomials over F2
Fatima K. Abu Salem
Computing, 2006, 77 : 179 - 203
[22] SINGLE-HOP F2 PROPAGATION ABOVE 30 MHZ AND OVER DISTANCES GREATER THAN 4000 KM
DYSON, PL
CHEN, J
BENNETT, JA
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1992, 40 (07) : 841 - 843
[23] A Further Study on Using (x) over dot = λ[αR+βP] (P = F - R(F•R)/∥R∥2) and (x) over dot = λ[αF+βP*] (P* = R - F(F•R)/∥F∥2) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x)=0
Liu, Chein-Shan
Dai, Hong-Hua
Atluri, Satya N.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, 81 (02): : 195 - 227
[24] Bounds on covering radius of linear codes with Chinese Euclidean distance over the finite non chain ring F2 + vF2
Gao, Jian
Wang, Yongkang
Li, Juan
INFORMATION PROCESSING LETTERS, 2018, 138 : 22 - 26
[25] MacWilliams Identities of Linear Codes with Respect to RT Metric over Mnxs(F2[u, v]/⟨uk, v2, uv - vu⟩)
Shi, Minjia
Tang, Jie
Ge, Maorong
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2017, E100A (11) : 2522 - 2527
[26] On resolvability of Steiner systems S (v = 2m, 4, 3) of rank r≤v-m+1 over F2
Zinoviev, V. A.
Zinoviev, D. V.
PROBLEMS OF INFORMATION TRANSMISSION, 2007, 43 (01) : 33 - 47
[27] WEIGHT ENUMERATORS AND MACWILLIAMS IDENTITIES FOR LINEAR CODES OVER F2 [u, v]/⟨u2-1, v3 - v, uv - vu⟩
Shi, Minjia
Qian, Liqin
APPLIED AND COMPUTATIONAL MATHEMATICS, 2020, 19 (02) : 151 - 161
[28] Linear codes over F2×(F2+vF2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_2 \times (\mathbb {F}_2+v\mathbb {F}_2)$$\end{document} and the MacWilliams identities
Fatma Çalışkan
Refia Aksoy
Applicable Algebra in Engineering, Communication and Computing, 2020, 31 (2) : 135 - 147
[29] Electron density extrapolation above F2 peak by the linear Vary-Chap model supporting new Global Navigation Satellite Systems-LEO occultation missions
Hernandez-Pajares, Manuel
Garcia-Fernandez, Miquel
Rius, Antonio
Notarpietro, Riccardo
von Engeln, Axel
Olivares-Pulido, German
Aragon-Angel, Angela
Garcia-Rigo, Alberto
JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 2017, 122 (08) : 9003 - 9014
[30] Parameterized Complexity of Satisfying Almost All Linear Equations over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{F}_{2}$\end{document}
R. Crowston
G. Gutin
M. Jones
A. Yeo
Theory of Computing Systems, 2013, 52 (4) : 719 - 728

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