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Resultants of cyclotomic polynomials
Let \(\Phi_k(x)\) denote the \(k\)th cyclotomic polynomial. Let \(f\) and \(g\) be polynomials of degree \(m\), respectively \(n\) with leading coefficient \(f_m\), respectively \(g_n\). The resultant of \(f\) and \(g\) is defined as \(f_m^n g_n^m\prod_{i,j}(\alpha_i-\beta_j),\) where \(\alpha_i, \beta_j\) runs over the roots of \(f\), respectively \(g\
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Error Probability Mitigation in Quantum Reading Using Classical Codes. [PDF]
Fernandes Pereira FR, Mancini S.
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Coefficients of cyclotomic polynomials
Let $a(n, k)$ be the $k$-th coefficient of the $n$-th cyclotomic polynomial. Recently, Ji, Li and Moree \cite{JLM09} proved that for any integer $m\ge1$, $\{a(mn, k)| n, k\in\mathbb{N}\}=\mathbb{Z}$. In this paper, we improve this result and prove that for any integers $s>t\ge0$, $$\{a(ns+t, k)| n, k\in\mathbb{N}\}=\mathbb{Z}.$$
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Analysis of Blind Reconstruction of BCH Codes. [PDF]
Kwon S, Shin DJ.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Allen PB, Khare CB, Thorne JA.
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An Euler system for GU(2, 1). [PDF]
Loeffler D, Skinner C, Zerbes SL.
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NTRU-Like Random Congruential Public-Key Cryptosystem for Wireless Sensor Networks. [PDF]
Ibrahim A +5 more
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A systematic review of homomorphic encryption and its contributions in healthcare industry. [PDF]
Munjal K, Bhatia R.
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Post quantum blockchain architecture for internet of things over NTRU lattice. [PDF]
Yuan B, Wu F, Zheng Z.
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