Mosaics of combinatorial designs

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

Organisaatiot

  • University of Zagreb

Kuvaus

Looking at incidence matrices of t-(Formula presented.) designs as (Formula presented.) matrices with two possible entries, each of which indicates incidences of a t-design, we introduce the notion of a c-mosaic of designs, having the same number of points and blocks, as a matrix with c different entries, such that each entry defines incidences of a design. In fact, a (Formula presented.) matrix is decomposed in c incidence matrices of designs, each denoted by a different colour, hence this decomposition might be seen as a tiling of a matrix with incidence matrices of designs as well. These mosaics have applications in experiment design when considering a simultaneous run of several different experiments. We have constructed infinite series of examples of mosaics and state some probably non-trivial open problems. Furthermore we extend our definition to the case of q-analogues of designs in a meaningful way.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut85–95
Sivumäärä11
JulkaisuDESIGNS CODES AND CRYPTOGRAPHY
Vuosikerta86
Numero1
TilaJulkaistu - 2018
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 13535044