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Linearised polynomial
Known as:
Linearized polynomial
In mathematics, a linearised polynomial (or q- polynomial) is a polynomial for which the exponents of all the constituent monomials are powers of q…
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Related topics
Related topics
3 relations
Monomial
Permutation polynomial
Polynomial
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Results on Linearized Trinomials having a Certain Rank
G. McGuire
,
D. Mueller
2019
Corpus ID: 167217610
Linearized polynomials over finite fields have been much studied over the last several decades. Recently there has been a renewed…
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2018
2018
Improved upper bound on root number of linearized polynomials and its application to nonlinearity estimation of Boolean functions
Sihem Mesnager
,
Kwang Ho Kim
,
Myong Song Jo
IACR Cryptology ePrint Archive
2018
Corpus ID: 53856908
To determine the dimension of null space of any given linearized polynomial is one of vital problems in finite field theory, with…
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2017
2017
A Lagrangian Approach for Computational Acoustics with Meshfree Method
Yongou Zhang
,
S. G. L. Smith
,
Zhang Tao
,
Tianyun Li
2017
Corpus ID: 34847636
Although Eulerian approaches are standard in computational acoustics, they are less effective for certain classes of problems…
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2015
2015
Higher weight distribution of linearized Reed-Solomon codes
Haode Yan
,
Yan Liu
,
Chunlei Liu
arXiv.org
2015
Corpus ID: 17107264
Linearized Reed-Solomon codes are defined. Higher weight distribution of those codes are determined.
2014
2014
Gröbner Bases for Linearized Polynomials
M. Kuijper
,
Anna-Lena Horlemann-Trautmann
arXiv.org
2014
Corpus ID: 15737529
In this work we develop the theory of Gr\"obner bases for modules over the ring of univariate linearized polynomials with…
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2012
2012
Exact-Repair Minimum Bandwidth Regenerating Codes Based on Evaluation of Linearized Polynomials
Hongmei Xie
,
Zhiyuan Yan
arXiv.org
2012
Corpus ID: 26685371
In this paper, we propose two new constructions of exact-repair minimum storage regenerating (exact-MBR) codes. Both…
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2011
2011
Semi-characteristic polynomials, {\phi}-modules and skew polynomials
J. L. Borgne
2011
Corpus ID: 116614230
We introduce the notion of semi-characteristic polynomial for a semi-linear map of a finite- dimensional vector space over a…
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2005
2005
Maximal Algebraic Degree of the Inverse of Linearized Polynomial
Dong Hoon Lee
2005
Corpus ID: 60255627
The linearized polynomial fan be regarded as a generalization of the identity function so that the inverse of the linearized…
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2004
2004
Multiport power amplifier: a flexible architecture for multi-channel amplification on board satellites [linearized TWTs]
F. André
Fifth IEEE International Vacuum Electronics…
2004
Corpus ID: 22070748
Summary form only given. The amplification of multiple signals on board telecommunication satellites is normally implemented with…
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1986
1986
Discriminants and the irreducibility of a class of polynomials
Oscar Moreno de Ayala
International Symposium on Applied Algebra…
1986
Corpus ID: 16951318
There has been some interest in finding irreducible polynomial of the type f(A(x)) for certain classes of linearized polynomials…
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