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145
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COMBINATORICS
1998
60views more  COMBINATORICS 1998»
15 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
174
Voted
ANTS
1998
Springer
93views Algorithms» more  ANTS 1998»
15 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
174
Voted
DCC
2010
IEEE
15 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...
111
Voted
JSYML
2007
36views more  JSYML 2007»
15 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»
15 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