Results 41 to 50 of about 2,863 (231)
Implementation of Reed-Solomon RS(255,239) Code
Proceedings of the International Conference on Applied Innovations in IT, 2014 In this paper the construction of Reed-Solomon RS(255,239) codeword is described and the process of coding and decoding a message is simulated and verified.
Maja Malenko
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Minimal projective varieties satisfying Miyaoka's equality
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai +2 more
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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
Forum of Mathematics, Sigma, 2016 Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
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Symmetric products and puncturing Campana‐special varieties
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We give a counterexample to the Arithmetic Puncturing Conjecture and Geometric Puncturing Conjecture of Hassett–Tschinkel using symmetric powers of uniruled surfaces, and propose a corrected conjecture inspired by Campana's conjectures on special varieties.
Finn Bartsch +2 more
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A Method for Strict Remote User Identification Using non - Reversible Galois Field Transformations
MATEC Web of Conferences, 2017 This article proposes an approach that accelerates the realization of strict remote user identification using non reversible Galois field transformation.
Bardis Nikolaos G. +2 more
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Counting Hopf Galois Structures on Non-Abelian Galois Field Extensions
Journal of Algebra, 1999 If \(L/K\) is a \(G\)-Galois extension of fields, then it is quite possible that \(L/K\) is also Hopf Galois for various Hopf algebras \(H\) which are different from the obvious choice \(H=K[G]\). In particular it was observed by Pareigis and the reviewer that such a ``genuinely Hopf'' Galois structure exists as soon as \(G\) is not abelian.
Carnahan, Scott, Childs, Lindsay
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Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields [PDF]
, 2021 Filip Najman, George C. Ţurcaş
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Periodic points of rational functions over finite fields
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract For q$q$ a prime power and ϕ$\phi$ a rational function with coefficients in Fq$\mathbb {F}_q$, let p(q,ϕ)$p(q,\phi)$ be the proportion of P1Fq$\mathbb {P}^1\left(\mathbb {F}_q\right)$ that is periodic with respect to ϕ$\phi$. Furthermore, if d$d$ is a positive integer, let Qd$Q_d$ be the set of prime powers coprime to d!$d!$ and let P(d,q ...
Derek Garton
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A BRB Algorithm for Non-Binary LDPC Decoding With Single-Symbol Extrinsic Information Modification
IEEE AccessIn the weighted bit-reliability based (wBRB) Non-binary LDPC decoding algorithm, using the minimum bit-reliability as the reliability of the entire symbol for information updating significantly decreases the decoding performance in cases of a large order
Xiangcheng Li +4 more
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
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