Results 21 to 30 of about 622 (49)
Eisenstein Polynomials over Function Fields
, 2015 In this paper we compute the density of monic and non-monic Eisenstein polynomials of fixed degree having entries in an integrally closed subring of a function field over a finite ...
Dotti, Edoardo, Micheli, Giacomo
core +1 more source
Security analysis of ZKPoK based on MQ problem in the multi-instance setting
Journal of Mathematical CryptologyBidoux and Gaborit introduced a new general technique to improve zero-knowledge (ZK) proof-of-knowledge (PoK) schemes for a large set of well-known post-quantum hard computational problems such as the syndrome decoding, the permuted kernel, the rank ...
Kahrobaei Delaram +2 more
doaj +1 more source
Determination of a Type of Permutation Binomials over Finite Fields [PDF]
, 2013 Let $f=a\x+\x^{3q-2}\in\Bbb F_{q^2}[\x]$, where $a\in\Bbb F_{q^2}^*$. We prove that $f$ is a permutation polynomial of $\Bbb F_{q^2}$ if and only if one of the following occurs: (i) $q=2^e$, $e$ odd, and $a^{\frac{q+1}3}$ is a primitive $3$rd root of ...
D. Lappano, Stephen, Xiang-dong Hou
core
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
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
The Relation between Solar Eruption Topologies and Observed Flare Features I: Flare Ribbons
, 2015 In this paper we present a topological magnetic field investigation of seven two-ribbon flares in sigmoidal active regions observed with Hinode, STEREO, and SDO.
DeLuca, E. E. +7 more
core +3 more sources
On the operations of sequences in rings and binomial type sequences
, 2018 Given a commutative ring with identity $R$, many different and interesting operations can be defined over the set $H_R$ of sequences of elements in $R$. These operations can also give $H_R$ the structure of a ring.
Barbero, Stefano +2 more
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