Results 11 to 20 of about 6,470 (216)
Classes of weak Dembowski–Ostrom polynomials for multivariate quadratic cryptosystems
Journal of Mathematical Cryptology, 2015 T. Harayama and D. K. Friesen [J. Math. Cryptol. 1 (2007), 79–104] proposed the linearized binomial attack for multivariate quadratic cryptosystems and introduced weak Dembowski–Ostrom (DO) polynomials in this framework over the finite field 𝔽2.
Alam Bilal, Özbudak Ferruh, Yayla Oğuz
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IEEE Transactions on Information Theory, 2023 The generalized Hamming weight of linear codes is a natural generalization of the minimum Hamming distance. They convey the structural information of a linear code and determine its performance in various applications, and have become one of important research topics in coding theory. Recently, Li (IEEE Trans. Inf.
Chao Liu +2 more
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Forms over fields and Witt's lemma
, 2020 We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vector spaces over fields, and describe its relationship to the classical notions of Hermitian, alternating and quadratic forms.
Sprehn, David, Wahl, Nathalie
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Modular symbols over number fields [PDF]
, 2010 Let K be a number field, R its ring of integers. For some classes of fields, spaces of cusp forms of weight 2 for GL(2;K) have been computed using methods based on modular symbols. J.E.
Aranes, M.
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No proper generalized quadratic forms are universal over quadratic fields
The Ramanujan JournalAbstract We consider generalized quadratic forms over real quadratic number fields and prove, under a natural positive-definiteness condition, that a generalized quadratic form can only be universal if it contains a quadratic subform that is universal.
Chwiedziuk, Ondřej +7 more
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Quadratic forms over quadratic extensions of generalized local fields
Journal of Algebra, 1988 In this paper the behaviour under quadratic extensions of special assumptions about Pfister forms is studied. Thus a field F is called n- local, \(n\geq 2\), if there are exactly 2 isometry classes of n-fold Pfister forms over F. \textit{K. Szymiczek} [J. Reine Angew. Math.
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Unimodular quadratic forms over global function fields
, 1979 The isometry problem is studied for unimodular quadratic forms over the Hasse domains of global function fields. Over the polynomial ring k[x] the problem reduces to classification of forms over k; but examples are provided showing that in general no ...
Gerstein, Larry J., Larry J. Gerstein
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On the ranks of elliptic curves in families of quadratic twists over number fields [PDF]
, 2014 summary:A conjecture due to Honda predicts that given any abelian variety over a number field $K$, all of its quadratic twists (or twists of a fixed order in general) have bounded Mordell-Weil rank.
Lee, Jung-Jo
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Representability of the local motivic Brouwer degree [PDF]
, 2022 We study which quadratic forms are representable as the local degree of a map $f \colon \mathbb{A}^n \to \mathbb{A}^n$ with an isolated zero at $0$, following the work of Kass and Wickelgren who established the connection to the quadratic form of ...
Wilson, Glen Matthew +2 more
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Universal quadratic forms over orders in number fields
, 2023 This thesis studies quadratic forms and lattices over rings of integers in number fields, and, to some extent, over non-maximal orders as well. The main focus is on universality of forms and lattices, and on the connected notion of the Pythagoras number.
Krásenský, Jakub
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