Results 31 to 40 of about 176,423 (294)
A note on powers in finite fields [PDF]
International Journal of Mathematical Education in Science and Technology, 2016 The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research. In recent years the subject has found important applications in the modelling of problems from applied mathematical fields such as signal analysis, system theory, coding theory and cryptology.
Aabrandt, Andreas +1 more
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On the Orders of the Elements of a Square Extension of a Finite Field of Characteristic 2
Современные информационные технологии и IT-образование, 2020 Let F(2m) will be an arbitrary finite field of characteristic 2. It’s square extension will be considered as an algebra with basiс elements 1 and e over the field F(2m).
Valery Maximov, Victoria Remezova
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The number of rational points on a class of hypersurfaces in quadratic extensions of finite fields
Electronic Research Archive, 2023 Let $ q $ be an even prime power and let $ \mathbb{F}_{q} $ be the finite field of $ q $ elements. Let $ f $ be a nonzero polynomial over $ \mathbb{F}_{q^2} $ of the form $ f = a_{1}x_{1}^{m_{1}}+\dots+a_{s}x_{s}^{m_{s}}+y_{1}y_{2}+\dots+y_{n-1}y_{n}+y_ ...
Qinlong Chen , Wei Cao
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A New Construction of Codebooks Meeting the Levenshtein Bound
IEEE Access, 2020 Codebooks with low coherence have extensive applications in many fileds such as code division multiple access (CDMA) communication systems, MIMO communications, compressed sensing and so on. In this paper, based on additive characters over finite fields,
Li Han +3 more
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IEEE Access, 2020 Substitution box (S-Box) has a prominent significance being the fundamental nonlinear component of block cipher which fulfils confusion, one of the properties proposed by Claude Shannon in 1949.
Wei Gao +3 more
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Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
Performance Triggered Adaptive Model Reduction for Soil Moisture Estimation in Precision Irrigation
International Journal of Adaptive Control and Signal Processing, EarlyView.ABSTRACT Accurate soil moisture information is essential for precise irrigation to enhance water use efficiency. Estimating soil moisture based on limited soil moisture sensors is especially critical for obtaining comprehensive soil moisture information when dealing with large‐scale agricultural fields.
Sarupa Debnath +4 more
wiley +1 more source
Mayfly optimistic hyperelliptic curve cryptosystem
Frontiers in Computer ScienceVarious applications use asymmetric cryptography to secure communications between both parties, and it raises the main issue of generating vast amounts of computation and storage.
Ramireddy Nava Teja Reddy +7 more
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Model theory of finite fields and pseudo-finite fields
Annals of Pure and Applied Logic, 1997 Abstract We give a survey of results obtained in the model theory of finite and pseudo-finite fields.
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