Results 1 to 10 of about 22,559,531 (217)

Representing rational integers by generalized quadratic forms over quadratic fields [PDF]

16 pages + 11 pages appendix; moved technical details to the ...
Chwiedziuk, Ondřej, Doležálek, Matěj, Pěchoučková, Emma, Pezlar, Zdeněk, Prakash, Om, Romeo, Giuliano, Růžičková, Anna, Zindulka, Mikuláš   +7 more
core   +4 more sources

No proper generalized quadratic forms are universal over quadratic fields

The Ramanujan Journal
Abstract 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, Doležálek, Matěj, Hlavinková, Simona, Pěchoučková, Emma, Pezlar, Zdeněk, Prakash, Om, Růžičková, Anna, Zindulka, Mikuláš   +7 more
openaire   +3 more sources

Generalized Hamming Weights of Linear Codes From Quadratic Forms Over Finite Fields of Even Characteristic

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 0001   +2 more
openaire   +5 more sources

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
doaj   +1 more source

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.
openaire   +1 more source

Computational joint action: Dynamical models to understand the development of joint coordination.

PLoS Computational Biology
Coordinating with others is part of our everyday experience. Previous studies using sensorimotor coordination games suggest that human dyads develop coordination strategies that can be interpreted as Nash equilibria. However, if the players are uncertain
Cecilia De Vicariis, Vinil T Chackochan, Laura Bandini, Eleonora Ravaschio, Vittorio Sanguineti   +4 more
doaj   +1 more source

A crossed product of a skew field of quaternions and four-group

Журнал Белорусского государственного университета: Математика, информатика, 2018
The article considers construction of generalized crossed product of an arbitrary quaternions skew field and Klein four-group relative to factor system. It is well known that such crossed product is semisimple ring.
Valery V. Kursov
doaj  

Universal Generalization of Norm Forms over Real Quadratic Fields: Algebraic Factorization, The Neighbor Theorem, and Cyclotomic Entanglement

For each squarefree d > 1 we attach to Q(√d) the norm-form sequence D_k^(d) = y_k^2 - d = N(y_k + √d), where ε_d^k = x_k + y_k√d for the fundamental unit ε_d; the Pell sequence is d = 2. We develop the theory of this family on three levels.
openaire   +1 more source

Joyce Structures from Quadratic Differentials on the Sphere. [PDF]

Commun Math Phys
Moy T.
europepmc   +1 more source

The Vlasov bivector: a parameter-free approach to Vlasov kinematics. [PDF]

Eur Phys J Plus
Gunneberg F, Gratus J, Stanfield H.
europepmc   +1 more source