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The full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024}
A. V. Sokolov
doaj
Lifting Galois representations via Galois cohomology
First draft, comments ...
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Modularity lifting theorems for ordinary Galois representations
D. Geraghty
semanticscholar +1 more source
Another look at rational torsion of modular Jacobians. [PDF]
Ribet KA, Wake P.
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Lifting Reducible Galois Representations
130 pages ; Let $p$ be an odd prime and $q$ a power of $p$. By the celebrated theorem of Khare and Wintenberger (previously Serre's conjecture), an absolutely irreducible odd $2$-dimensional Galois representation $\bar{\rho}:\operatorname{G}_{\mathbb{Q}}\rightarrow \operatorname{GL}_2(\mathbb{F}_q)$ (satisfying favorable conditions) lifts to a ...
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LIFTING TORSION GALOIS REPRESENTATIONS – CORRIGENDUM
CHANDRASHEKHAR KHARE, RAVI RAMAKRISHNA
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A New COVID-19 Detection Method Based on CSK/QAM Visible Light Communication and Machine Learning. [PDF]
Soto I +8 more
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Unlikely intersections on the p-adic formal ball. [PDF]
Serban V.
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Constructing Galois representations ramified at one prime [PDF]
Anwesh Ray
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Allen PB, Khare CB, Thorne JA.
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