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...
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...
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...
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...
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...