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COMBINATORICS
1998
60views more  COMBINATORICS 1998»
13 years 7 months ago
Finite Vector Spaces and Certain Lattices
The Galois number Gn(q) is defined to be the number of subspaces of the n-dimensional vector space over the finite field GF(q). When q is prime, we prove that Gn(q) is equal to...
Thomas W. Cusick
ANTS
1998
Springer
93views Algorithms» more  ANTS 1998»
13 years 11 months ago
Evaluation of Linear Relations between Vectors of a Lattice in Euclidean Space
We prove that to find a nontrivial integer linear relation between vectors of a lattice L IRn , whose euclidean length is at most M, one needs O n5+ (ln Mn/)1+ binary operations f...
Igor A. Semaev
DCC
2010
IEEE
13 years 7 months ago
The maximum size of a partial 3-spread in a finite vector space over GF(2)
Let n 3 be an integer, let Vn(2) denote the vector space of dimension n over GF(2), and let c be the least residue of n modulo 3. We prove that the maximum number of 3-dimensional...
Saad El-Zanati, H. Jordon, G. F. Seelinger, Papa S...
JSYML
2007
36views more  JSYML 2007»
13 years 7 months ago
Groups definable in ordered vector spaces over ordered division rings
Let M = M, +, <, 0, {λ}λ∈D be an ordered vector space over an ordered division ring D, and G = G, ⊕, eG an n-dimensional group definable in M. We show that if G is defin...
Pantelis E. Eleftheriou, Sergei Starchenko
CORR
2011
Springer
156views Education» more  CORR 2011»
13 years 2 months ago
Discrete Time Elastic Vector Spaces
This paper proposes a framework dedicated to the construction of what we call time elastic inner products allowing one to embed sets of non-uniformly sampled multivariate time ser...
Pierre-François Marteau