Design theory
t-divisible designs from imprimitive permutation groups
European Journal of Combinatorics
Construction of divisible designs from translation planes
European Journal of Combinatorics
Veronese Varieties Over Finite Fields and Their Projections
Designs, Codes and Cryptography
Automorphisms of Constant Weight Codes and of DivisibleDesigns
Designs, Codes and Cryptography
Divisible designs from semifield planes
Discrete Mathematics
Veronese varieties over fields with non-zero characteristic: a survey
Discrete Mathematics - Special issue: Combinatorics 2000
Divisible designs with dual translation group
Designs, Codes and Cryptography
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The aim of this paper is to present a construction of t-divisible designs (DDs) for t 3, because such DDs seem to be missing in the literature. To this end, tools such as finite projective spaces and their algebraic varieties are employed. More precisely, in a first step an abstract construction, called t-lifting, is developed. It starts from a set X containing a t-DD and a group G acting on X. Then several explicit examples are given, where X is a subset of PG(n,q) and G is a subgroup of GL_n + 1(q). In some cases X is obtained from a cone with a Veronesean or an h-sphere as its basis. In other examples, X arises from a projective embedding of a Witt design. As a result, for any integer t 驴 2 infinitely many non-isomorphic t-DDs are found.