Abstract. 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 subspaces in Vn(2) with pairwise intersection {0} is 2n−2c7 − c for n ≥ 8 and c = 2. (The cases c = 0 and c = 1 have already been settled.) We then use our results to construct new optimal orthogonal arrays and (s, k, λ)-nets. 1
We prove that the maximum number of k-sets in a set S of n points in IR 3 is O(nk 3=2 ). This im...
(Communicated by) Abstract. Let C = {V1, V2,..., Vk} be a finite collection of nontrivial sub-spaces...
AbstractLet K⊂L be a commutative field extension. Given K-subspaces A,B of L, we consider the subspa...
AbstractA subspace partition of P=PG(n,q) is a collection of subspaces of P whose pairwise intersect...
Dimitri Grigoriev has shown that for any family of N vectors in the ddimensionallinear space E = (F2...
13 pagesDimitri Grigoriev has shown that for any family of N vectors in the d-dimensional linear spa...
AbstractLet V be an n-dimensional vector space over GF(q) and for integers k⩾t>0 let mq(n, k, t) den...
We study the sizes of δ-additive sets of unit vectors in a d-dimensional normed space: the sum of an...
AbstractA vector space partition of a finite vector space V over the field of q elements is a collec...
AbstractDimitri Grigoriev has shown that for any family of N vectors in the d-dimensional linear spa...
We show that a maximal partial spread inPG(3,q) is either a spread or has at most q2 + 1 - Ö{2q}q2+1...
AbstractLet V denote V(n,q), the vector space of dimension n over GF(q). A subspace partition of V i...
A scattered subspace of $PG(n-1,q)$ with respect to a $(t-1)$-spread $S$ is a subspace intersecting...
AbstractLet T be a subspace of the n-dimensional Euclidean space based on GF(2), the 2-element field...
We show for k = 2 that if q = 3 and n = 2k + 1, or q = 2 and n = 2k + 2, then any intersecting famil...
We prove that the maximum number of k-sets in a set S of n points in IR 3 is O(nk 3=2 ). This im...
(Communicated by) Abstract. Let C = {V1, V2,..., Vk} be a finite collection of nontrivial sub-spaces...
AbstractLet K⊂L be a commutative field extension. Given K-subspaces A,B of L, we consider the subspa...
AbstractA subspace partition of P=PG(n,q) is a collection of subspaces of P whose pairwise intersect...
Dimitri Grigoriev has shown that for any family of N vectors in the ddimensionallinear space E = (F2...
13 pagesDimitri Grigoriev has shown that for any family of N vectors in the d-dimensional linear spa...
AbstractLet V be an n-dimensional vector space over GF(q) and for integers k⩾t>0 let mq(n, k, t) den...
We study the sizes of δ-additive sets of unit vectors in a d-dimensional normed space: the sum of an...
AbstractA vector space partition of a finite vector space V over the field of q elements is a collec...
AbstractDimitri Grigoriev has shown that for any family of N vectors in the d-dimensional linear spa...
We show that a maximal partial spread inPG(3,q) is either a spread or has at most q2 + 1 - Ö{2q}q2+1...
AbstractLet V denote V(n,q), the vector space of dimension n over GF(q). A subspace partition of V i...
A scattered subspace of $PG(n-1,q)$ with respect to a $(t-1)$-spread $S$ is a subspace intersecting...
AbstractLet T be a subspace of the n-dimensional Euclidean space based on GF(2), the 2-element field...
We show for k = 2 that if q = 3 and n = 2k + 1, or q = 2 and n = 2k + 2, then any intersecting famil...
We prove that the maximum number of k-sets in a set S of n points in IR 3 is O(nk 3=2 ). This im...
(Communicated by) Abstract. Let C = {V1, V2,..., Vk} be a finite collection of nontrivial sub-spaces...
AbstractLet K⊂L be a commutative field extension. Given K-subspaces A,B of L, we consider the subspa...