Results 1 to 10 of about 194,163 (77)
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, Dabin Zheng, Xiaoqiang Wang
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Heights and quadratic forms: on Cassels' theorem and its generalizations [PDF]
, 2012 In this survey paper, we discuss the classical Cassels' theorem on existence of small-height zeros of quadratic forms over Q and its many extensions, to different fields and rings, as well as to more general situations, such as existence of totally ...
Fukshansky, Lenny
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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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Multiples of Pfister forms [PDF]
, 2015 The isotropy of multiples of Pfister forms is studied. In particular, an improved lower bound on the values of their first Witt indices is obtained. A number of corollaries of this result are outlined.
O'Shea, James
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Euclidean Quadratic Forms and ADC Forms I [PDF]
, 2011 Motivated by classical results of Aubry, Davenport and Cassels, we define the notion of a Euclidean quadratic form over a normed integral domain and an ADC form over an integral domain.
Clark, Pete L.
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Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant [PDF]
, 1997 The Ray-Singer torsion for a compact smooth hyperbolic 3-dimensional manifold ${\cal H}^3$ is expressed in terms of Selberg zeta-functions, making use of the associated Selberg trace formulae.
Adams +33 more
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On Level One Cuspidal Bianchi Modular Forms [PDF]
, 2013 In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms.Comment: final ...
Ash +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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Counting solutions to a system of quadratic form equations over finite fields
AIMS MathematicsThe problem of counting the number of solutions to equations over finite fields has been a central topic in the study of finite fields. Let $ q $ be a prime power, and denote by $ {\mathbb F}_{q} $ the finite field with $ q $ elements. In this paper, we
Xiaodie Luo, Kaimin Cheng
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