Results 21 to 30 of about 7,538,990 (210)
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
doaj +1 more source
S-Box on Subgroup of Galois Field
Cryptography, 2019 In substitution−permutation network as a cryptosystem, substitution boxes play the role of the only nonlinear part. It would be easy for adversaries to compromise the security of the system without them.
Tariq Shah, Ayesha Qureshi
doaj +1 more source
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
doaj +1 more source
Development and Validation of an optimized syndromes block for reed solomon decoder [PDF]
ITM Web of Conferences, 2023 Reed Solomon decoder plays an indispensable role in many applications involving data transmission, storage applications and Video broadcasting DVB-T and DVB-S2.
Mohamed Elghayyaty +4 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Wilson's map operations on regulat dessins and cyclotomic fields of definition
, 2009 Dessins d’enfants can be seen as bipartite graphs embedded in compact orientable surfaces. According to Grothendieck and others, a dessin uniquely determines a complex structure on the surface, even an algebraic structure as a projective algebraic curve ...
Streit, M. +3 more
core +1 more source
LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY [PDF]
Journal of the Institute of Mathematics of Jussieu, 2020 AbstractWe solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over $\mathbb{Q}$. More generally, we show that over such a field, every split differential embedding problem can be solved.
Annette Bachmayr +3 more
openaire +2 more sources
An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley +1 more source