Tactical decompositions of designs over finite fields (CROSBI ID 206525)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Nakić, Anamari ; Pavčević, Mario Osvin
engleski
Tactical decompositions of designs over finite fields
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 conditions which can be expressed as equations in terms of the coefficients of tactical decomposition matrices. In this article we present results obtained for tactical decompositions of q- analogs of t-designs, more precisely, of 2-(v ; k ; lambda_2 ; q) designs. We show that coefficients of tactical decomposition matrices of a design over finite field satisfy an equation system analog to the one known for block designs. Furthermore, taking into consideration specific properties of designs over the binary field F_2, we obtain an additional system of inequations for these coefficients in that case.
design over finite field; q-analog of design; automorphism group; tactical decomposition
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano