Naslov
Tactical decomposition of designs over finite fields

Autori
Nakić, Anamari ; Pavčević, Mario

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, kratko priopćenje, znanstveni

Izvornik
Conference on Random network codes and Designs over GF(q), Ghent, September 18-20, 2013 / - , 2013, 1-1

Skup
Conference on Random network codes and Designs over GF(q)

Mjesto i datum
Gent, Belgija, 18.09.2013. - 20.09.2013

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Designs over finite fields ; Tactical decomposition

Sažetak
In this talk, we present results obtained for tactical decompositions of $2$-$(v, k, \lambda_2 ; q)$ designs. We show that coefficients of tactical decomposition matrices comply an equation system analogous to the one for $2$- designs. The emphasis of the talk is on the additional system of inequations for coefficients of tactical decomposition matrices of designs over $\Fq$. This system is obtained by taking into consideration specific properties of designs over $\Fq$ while using the known proving techniques for $t$-designs. This system of equations and inequations for coefficients of tactical decomposition matrices represents necessary conditions for the existence of designs over $\Fq$ with an assumed automorphism group. The necessary conditions are implemented in the well-known Kramer-Mesner method for construction of designs over finite fields. Using these additional constraints the adjoined Kramer-Mesner system can be replaced with several smaller systems of linear equations, leading to a reduction of the overall computation time needed for construction of designs over finite fields.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA