2‐Selmer parity for hyperelliptic curves in quadratic extensions [PDF]
Proceedings of the London Mathematical Society, 2015 We study the 2‐parity conjecture for Jacobians of hyperelliptic curves over number fields. Under some mild assumptions on their reduction, we prove the conjecture over quadratic extensions of the base field.
A. Morgan
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Polynomial Time Attack on Wild McEliece Over Quadratic Extensions [PDF]
IEEE Transactions on Information Theory, 2014 We present a polynomial-time structural attack against the McEliece system based on Wild Goppa codes defined over a quadratic finite field extension. We show that such codes can be efficiently distinguished from random codes.
Alain Couvreur, A. Otmani, J. Tillich
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On the unramified extensions of the prime cyclotomic number field and its quadratic extensions [PDF]
Nagoya mathematical journal, 1989 Norikata Nakagoshi
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The quadratic Graver cone, quadratic integer minimization, and extensions [PDF]
Mathematical Programming, 2012 We consider the nonlinear integer programming problem of minimizing a quadratic function over the integer points in variable dimension satisfying a system of linear inequalities. We show that when the Graver basis of the matrix defining the system is given, and the quadratic function lies in a suitable {\em dual Graver cone}, the problem can be solved ...
Lee, Jon +3 more
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Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem [PDF]
European journal of applied mathematics, 2017 We present an adaptation of the Monge–Ampère (MA) lattice basis reduction scheme to the MA equation with second boundary value condition, provided the target is a convex set.
J. Benamou, V. Duval
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Electroweak phase transition triggered by fermion sector
Journal of High Energy Physics, 2022 To realize first-order electroweak phase transition, it is necessary to generate a barrier in the thermal Higgs potential, which is usually triggered by scalar degree of freedom. We instead investigate phase transition patterns in pure fermion extensions
Qing-Hong Cao +4 more
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FINITE ELEMENT IMPLEMENTATION OF GEOMETRICALLY NONLINEAR CONTACT
Acta Polytechnica CTU Proceedings, 2021 The OOFEM finite element software has been recently updated to include contact algorithms for small strain applications. In this work, we attempt to extend the contact algorithms to large strain problems.
Ondřej Faltus, Martin Horák
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Metric Lie algebras and quadratic extensions [PDF]
, 2003 The present paper contains a systematic study of the structure of metric Lie algebras, i.e., finite-dimensional real Lie algebras equipped with a nondegenerate invariant symmetric bilinear form. We show that any metric Lie algebra g without simple ideals
I. Kath, M. Olbrich
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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Some homological properties of skew PBW extensions [PDF]
, 2013 We prove that if R is a left Noetherian and left regular ring then the same is true for any bijective skew PBW extension A of R. From this we get Serre's Theorem for such extensions.
Armando Reyes +2 more
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