Results 21 to 30 of about 600 (30)
A result on polynomials derived via graph theory
, 2019 We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same ...
Coulter, Robert S. +3 more
core +1 more source
Non-unique factorization of polynomials over residue class rings of the integers
, 2011 We investigate non-unique factorization of polynomials in Z_{p^n}[x] into irreducibles. As a Noetherian ring whose zero-divisors are contained in the Jacobson radical, Z_{p^n}[x] is atomic.
Anderson D. D. +5 more
core +1 more source
Inner product functional encryption based on the UOV scheme
Journal of Mathematical CryptologyWe analyze the efficiency and security of the inner product functional encryption (IPFE) protocol introduced in 2021 by Debnath, Mesnager, Dey, and Kundu, specifically when instantiated with UOV.
La Scala Roberto, Meneghetti Alessio
doaj +1 more source
A Swan-like note for a family of binary pentanomials
, 2018 In this note, we employ the techniques of Swan (Pacific J. Math. 12(3): 1099-1106, 1962) with the purpose of studying the parity of the number of the irreducible factors of the penatomial $X^n+X^{3s}+X^{2s}+X^{s}+1\in\mathbb{F}_2[X]$, where $s$ is even ...
Kapetanakis, Giorgos
core +1 more source
Value sets of bivariate Chebyshev maps over finite fields
, 2015 We determine the cardinality of the value sets of bivariate Chebyshev maps over finite fields. We achieve this using the dynamical properties of these maps and the algebraic expressions of their fixed points in terms of roots of unity.Comment: 11 pages ...
Küçüksakallı, Ömer
core +1 more source
Normal bases and irreducible polynomials
, 2018 Let $\mathbb{F}_q$ denote the finite field of $q$ elements and $\mathbb{F}_{q^n}$ the degree $n$ extension of $\mathbb{F}_q$. A normal basis of $\mathbb{F}_{q^n}$ over $\mathbb{F} _q$ is a basis of the form $\{\alpha,\alpha^q,\dots,\alpha^{q^{n-1 ...
Cao, Wei, Han, Shanmeng, Huang, Hua
core +1 more source
Periodic harmonic functions on lattices and points count in positive characteristic
Open Mathematics, 2009 Zaidenberg Mikhail
doaj +1 more source
Control or overcontrol for covariates? [PDF]
Evid Based Ment Health, 2016 Streiner DL.
europepmc +1 more source
Sylow p-groups of polynomial permutations on the integers mod [Formula: see text].
J Number Theory, 2013 Frisch S, Krenn D.
europepmc +1 more source