Results 91 to 100 of about 3,324,527 (305)
A Note on Factorization and the Number of Irreducible Factors of xn − λ over Finite Fields
MathematicsLet Fq be a finite field, and let n be a positive integer such that gcd(q,n)=1. The irreducible factors of xn−1 and xn−λ are fundamental concepts with wide applications in cyclic codes and constacyclic codes.
Jinle Liu, Hongfeng Wu
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Advanced Functional Materials, EarlyView.Edible electronics needs integrated logic circuits for computation and control. This work presents a potentially edible printed chitosan‐gated transistor with a design optimized for integration in circuits. Its implementation in integrated logic gates and circuits operating at low voltage (0.7 V) is demonstrated, as well as the compatibility with an ...
Giulia Coco +8 more
wiley +1 more source
Quasi-Cyclic Codes Via Unfolded Cyclic Codes and Their Reversibility
IEEE Access, 2019 The finite field $\mathbb {F}_{q^\ell }$ of $q^\ell $ elements contains $\mathbb {F}_{q}$ as a subfield. If $\theta \in \mathbb {F}_{q^\ell }$ is of degree $\ell $ over $\mathbb {F}_{q}$ , it can be used to unfold elements of $\mathbb {F}_{q^\
Ramy Taki Eldin, Hajime Matsui
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Finite Fields and Ramanujan Graphs
Journal of Combinatorial Theory, Series B, 1997 A connected \(k\)-regular graph is called a Ramanujan graph if the modulus of any eigenvalue (of its adjacency matrix), different from \(\pm k\), does not exceed \(2\sqrt{k-1}\). The author gives a new method to construct Ramanujan graphs, and he constructs two new families of Ramanujan graphs.
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Advanced Functional Materials, EarlyView.ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti +16 more
wiley +1 more source
An in-silico NMR laboratory for nuclear magnetic shieldings computed via finite fields: Exploring nucleus-specific renormalizations of MP2 and MP3. [PDF]
J Chem Phys, 2023 Wong J +10 more
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Satisfiability Modulo Finite Fields
, 2023 This is the artifact for "Satisfiability Modulo Finite Fields", which appeared at CAV'23. Paper Abstract: We study satisfiability modulo the theory of finite fields and give a decision procedure for this theory.
Cesare Tinelli +3 more
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Advanced Functional Materials, EarlyView.Optoelectronic synaptic devices based on solution‐processed molecular telluride GST‐225 phase‐change inks are demonstrated for three‐factor learning. A global optical signal broadcast through a silicon waveguide induces non‐volatile conductance updates exclusively in locally electrically flagged memristors.
Kevin Portner +14 more
wiley +1 more source
Some New Quantum BCH Codes over Finite Fields. [PDF]
Entropy (Basel), 2021 Xing L, Li Z.
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On the average distribution of inversive pseudorandom numbers
, 2002 Finite Fields and their Applications84491 ...
Niederreiter, Harald +3 more
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