23 citations · 42 across the 9 of their papers we have counts for
10 papers · 1 filter
-additive Steiner 2-designs
Marco Buratti, Mario Galici, Alessandro Montinaro +2
A design is -additive with an abelian group, if its points are in and each block is zero-sum in . All the few known ``manageable" additive Steiner 2-designs are $\mat…
Banff designs: difference methods for coloring incidence graphs
Marco Buratti, Francesca Merola, Anamari Nakic +1
We present some results on the harmonious colorings of the Levi graph of a -design, focusing on Steiner -designs. It is easily seen that the harmonious chromatic number of su…
A few more Hadamard Partitioned Difference Families
Anamari Nakic
A {\it partitioned difference family} (PDF) is a partition of an additive group into sets ({\it blocks}) of sizes , \dots, , such tha…
The first example of a simple design
Anamari Nakic
We give the very first example of a simple design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel…
Additivity of symmetric and subspace designs
Marco Buratti, Anamari Nakic
A - design is additive (or strongly additive) if it is possible to embed it in a suitable abelian group in such a way that its block set is contained in (or coincid…
Graph decompositions in projective geometries
Marco Buratti, Anamari Nakic, Alfred Wassermann
Let PG be the -dimensional projective space over and let be a simple graph of order for some . A 2 desig…
Designs over finite fields by difference methods
Marco Buratti, Anamari Nakic
One of the very first results about designs over finite fields, by S. Thomas, is the existence of a cyclic 2- design over for every integer coprime wi…
Necessary conditions for the existence of 3-designs over finite fields with nontrivial automorphism groups
Maarten De Boeck, Anamari Nakic
A q-design with parameters t-(v,k,lambda_t)_q is a pair (V, B) of the v-dimensional vector space V over GF(q) and a collection B of k-dimensional subspaces of V, such that each t-d…
On the automorphism group of a binary -analog of the Fano plane
Michael Braun, Michael Kiermaier, Anamari Nakić
The smallest set of admissible parameters of a -analog of a Steiner system is . The existence of such a Steiner system -- known as a binary -analog of the Fano pl…
Tactical decompositions of designs over finite fields
Anamari Nakic, Mario Osvin Pavcevic
An automorphism group of an incidence structure I induces a tactical decomposition on I. It is well known that tactical decompositions of t-designs satisfy certain necessary condit…