Results 31 to 40 of about 12,236 (229)
ITM Web of Conferences, 2017 We investigate three classes of Ding-Helleseth-generalized cyclotomic sequences of length pq. We derive the linear complexity and the minimal polynomial of above-mentioned sequences over the finite fields of orders p and q, where p and q are two odd ...
Edemskiy Vladimir, Sokolovskiy Nikita
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Cyclotomic numerical semigroups
, 2016 Given a numerical semigroup $S$, we let $\mathrm P_S(x)=(1-x)\sum_{s\in S}x^s$ be its semigroup polynomial. We study cyclotomic numerical semigroups; these are numerical semigroups $S$ such that $\mathrm P_S(x)$ has all its roots in the unit disc.
Ciolan, Emil-Alexandru +2 more
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Bounds on ternary cyclotomic coefficients
, 2008 We present a new bound on $A = \max_n |a_{pqr}(n)|$, where $a_{pqr}(n)$ are the coefficients of a ternary cyclotomic polynomial.
Bzdega, Bartlomiej
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Fractalized cyclotomic polynomials [PDF]
Proceedings of the American Mathematical Society, 2007 For each prime power p m p^m , we realize the classical cyclotomic polynomial Φ p m ( x ) \Phi _{p^m}(x) as one of a collection of 3 m 3^m different ...
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The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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A note on periodic linear recurrence relations [PDF]
Notes on Number Theory and Discrete MathematicsWe provide an elementary proof of the fact that a sequence defined by a linear recurrence relation with integer coefficients is periodic if and only if all characteristic roots are distinct roots of unity.
József Bukor
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Engineering Reports, Volume 8, Issue 4, April 2026.Smart meter (SM): Collect the data of users' electricity consumption periodically, and preprocess the noise reduction by using the Robust Local Weighted Regression algorithm, then encrypt the private data in it by Boneh‐Goh‐Nissim homomorphic encryption, and submit the encrypted private data to the fog node.
Jiangtao Guo +5 more
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A P‐adic class formula for Anderson t‐modules
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
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Inverse cyclotomic polynomials
Journal of Number Theory, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Representation of Cyclotomic Fields and Their Subfields [PDF]
, 2012 Let $\K$ be a finite extension of a characteristic zero field $\F$. We say that the pair of $n\times n$ matrices $(A,B)$ over $\F$ represents $\K$ if $\K \cong \F[A]/$ where $\F[A]$ denotes the smallest subalgebra of $M_n(\F)$ containing $A$ and $$ is an
A. K. Lal +3 more
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