Results 11 to 20 of about 635 (41)
The Oribatida v1.3 Family of Lightweight Authenticated Encryption Schemes
Journal of Mathematical Cryptology, 2021 Permutation-based modes have been established for lightweight authenticated encryption, as can be seen from the high interest in the ongoing NIST lightweight competition.
Bhattacharjee Arghya +3 more
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Efficiently Processing Complex-Valued Data in Homomorphic Encryption
Journal of Mathematical Cryptology, 2020 We introduce a new homomorphic encryption scheme that is natively capable of computing with complex numbers. This is done by generalizing recent work of Chen, Laine, Player and Xia, who modified the Fan–Vercauteren scheme by replacing the integral ...
Bootland Carl +3 more
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Quasi-subfield Polynomials and the Elliptic Curve Discrete Logarithm Problem
Journal of Mathematical Cryptology, 2020 We initiate the study of a new class of polynomials which we call quasi-subfield polynomials. First, we show that this class of polynomials could lead to more efficient attacks for the elliptic curve discrete logarithm problem via the index calculus ...
Huang Ming-Deh +4 more
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Can we Beat the Square Root Bound for ECDLP over 𝔽p2 via Representation?
Journal of Mathematical Cryptology, 2020 We give a 4-list algorithm for solving the Elliptic Curve Discrete Logarithm (ECDLP) over some quadratic field 𝔽p2. Using the representation technique, we reduce ECDLP to a multivariate polynomial zero testing problem.
Delaplace Claire, May Alexander
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Associative nil-algebras over finite fields [PDF]
, 2013 The nilpotency degree of a relatively free finitely generated associative algebra with the identity $x^n=0$ is studied over finite fields.Comment: 12 ...
Artem A. Lopatin, Ivan, P. Shestakov
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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
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On the Arithmetic Exceptionality of Polynomial Mappings
, 2017 In this note we prove that certain polynomial mappings $P_\mathfrak{g}^k(\mathbf{x}) \in \mathbf{Z}[\mathbf{x}]$ in $n$-variables obtained from simple complex Lie algebras $\mathfrak{g}$ of arbitrary rank $n \ge 1$, are exceptional.Comment: 5 ...
Küçüksakallı, Ömer
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No bursts detected from FRB121102 in two 5-hour observing campaigns with the Robert C. Byrd Green Bank Telescope [PDF]
, 2018 Here, we report non-detection of radio bursts from Fast Radio Burst FRB 121102 during two 5-hour observation sessions on the Robert C. Byrd 100-m Green Bank Telescope in West Virginia, USA, on December 11, 2017, and January 12, 2018.
Croft, Steve +15 more
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Root multiplicities and number of nonzero coefficients of a polynomial
, 2005 It is known that the weight (that is, the number of nonzero coefficients) of a univariate polynomial over a field of characteristic zero is larger than the multiplicity of any of its nonzero roots.
Brindza B., Mattarei S., SANDRO MATTAREI
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On sets of irreducible polynomials closed by composition
, 2016 Let $\mathcal S$ be a set of monic degree $2$ polynomials over a finite field and let $C$ be the compositional semigroup generated by $\mathcal S$. In this paper we establish a necessary and sufficient condition for $C$ to be consisting entirely of ...
A Batra +13 more
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