Results 11 to 20 of about 9,407 (175)
Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers [PDF]
American Mathematical Monthly, 2014 Moree, P.
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Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros
Open Mathematics, 2013 McKee James, Smyth Chris
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Revisiting Multivariate Ring Learning with Errors and Its Applications on Lattice-Based Cryptography
Mathematics, 2021 The “Multivariate Ring Learning with Errors” problem was presented as a generalization of Ring Learning with Errors (RLWE), introducing efficiency improvements with respect to the RLWE counterpart thanks to its multivariate structure.
Alberto Pedrouzo-Ulloa +4 more
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Honam Mathematical Journal, 2015 Summary: The \(n\)-th cyclotomic polynomial \({\Phi}_n(x)\) is irreducible over \(\mathbb{Q}\) and has integer coefficients. The degree of \({\Phi}_n(x)\) is \({\varphi}(n)\), where \({\varphi}(n)\) is the Euler Phi-function. In this paper, we define the semi-cyclotomic polynomial \(J_n(x)\).
Lee, Ki-Suk, Lee, Ji-Eun, Kim, Ji-Hye
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Some subgroups of $\mathbb{F}_q^*$ and explicit factors of $x^{2^nd}-1\in\mathbb{F}_q[x]$ [PDF]
Transactions on Combinatorics, 2019 Let $\mathcal{S}_q$ denote the group of all square elements in the multiplicative group $\mathbb{F}_q^*$ of a finite field $\mathbb{F}_q$ of odd characteristic containing $q$ elements.
Manjit Singh
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Improved Ring LWR-Based Key Encapsulation Mechanism Using Cyclotomic Trinomials
IEEE Access, 2020 In the field of post-quantum cryptography, lattice-based cryptography has received the most noticeable attention. Most lattice-based cryptographic schemes are constructed based on the polynomial ring Rq = Zq[x]/f (x), using a cyclotomic polynomial f (x).
So Hyun Park +3 more
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Kutasov-Seiberg dualities and cyclotomic polynomials
Journal of High Energy Physics, 2019 We classify all Kutasov-Seiberg type dualities in large N c SQCD with adjoints of rational R-charges. This is done by equating the superconformal index of the electric and magnetic theories: the obtained equation has a solution each time some product of ...
Borut Bajc
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Revisiting the Melvin-Morton-Rozansky expansion, or there and back again
Journal of High Energy Physics, 2020 Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials ...
Sibasish Banerjee +2 more
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A new formula for the coefficients of Gaussian polynomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4] to prove some new results concerning cyclotomic and polygonal polynomials, as well as some of ...
Andrica Dorin, Bagdasar Ovidiu
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Mixing Additive and Multiplicative Masking for Probing Secure Polynomial Evaluation Methods
Transactions on Cryptographic Hardware and Embedded Systems, 2018 Masking is a sound countermeasure to protect implementations of block- cipher algorithms against Side Channel Analysis (SCA). Currently, the most efficient masking schemes use Lagrange’s Interpolation Theorem in order to represent any S- box by a ...
Axel Mathieu-Mahias, Michaël Quisquater
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