Results 21 to 30 of about 47,929 (192)
Implementation of Galois Field for Application in Wireless Communication Channels
MATEC Web of Conferences, 2018 This paper discusses the implementation of Galois Field based codes for application in wireless communication channel. It discusses the use of Galois Fields outlining the basic performance of a digital communication system in terms of BER curves.
Sarma Dikshita +3 more
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Galois groups over rational function fields over skew fields
Comptes Rendus. Mathématique, 2020 Let $H$ be a skew field of finite dimension over its center $k$. We solve the Inverse Galois Problem over the field of fractions $H(X)$ of the ring of polynomial functions over $H$ in the variable $X$, if $k$ contains an ample field.
Alon, Gil +2 more
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Galois conjugation and multiboundary entanglement entropy
Journal of High Energy Physics, 2020 We revisit certain natural algebraic transformations on the space of 3D topological quantum field theories (TQFTs) called “Galois conjugations.” Using a notion of multiboundary entanglement entropy (MEE) defined for TQFTs on compact 3-manifolds with ...
Matthew Buican, Rajath Radhakrishnan
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Stability conditions under change of base field
, 2011 We investigate the behaviour of Bridgeland stability conditions under change of base field with particular focus on the case of finite Galois extensions.
Bridgeland +10 more
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Optimization and FPGA implementation of RS coding algorithm
Dianzi Jishu Yingyong, 2020 Aiming at the problems of large amount of computation and high complexity of multiplication of Galois Field(GF) in the common RS coding algorithm, the RS coding module is optimized and the multiplier factor is obtained.
Li Jinming, Liu Mengxin, Cheng Naipeng
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Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
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Construction and classification of some Galois modules
, 2003 In our previous paper we describe the Galois module structures of $p$th-power class groups $K^\times/{K^{\times p}}$, where $K/F$ is a cyclic extension of degree $p$ over a field $F$ containing a primitive $p$th root of unity. Our description relies upon
Albert +9 more
core +2 more sources
A block encryption algorithm based on exponentiation transform
Cogent Engineering, 2020 This paper proposes a new block encryption algorithm for cryptographic information protection. It describes a new transformation method EM (Exponentiation Module), which is part of the algorithm, and a method of S-box obtaining.
Nursulu Kapalova +3 more
doaj +1 more source
Reduced group schemes as iterative differential Galois groups
, 2019 This article is on the inverse Galois problem in Galois theory of linear iterative differential equations in positive characteristic. We show that it has an affirmative answer for reduced algebraic group schemes over any iterative differential field ...
Maurischat, Andreas
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Computing Bonds Between Formal Contexts
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source