Tactical decomposition of designs over finite fields (CROSBI ID 605731)
Prilog sa skupa u zborniku | kratko priopćenje | međunarodna recenzija
Podaci o odgovornosti
Nakić, Anamari ; Pavčević, Mario
engleski
Tactical decomposition of designs over finite fields
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.
Designs over finite fields ; Tactical decomposition
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Podaci o prilogu
1-1.
2013.
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objavljeno
Podaci o matičnoj publikaciji
Conference on Random network codes and Designs over GF(q), Ghent, September 18-20, 2013
Podaci o skupu
Conference on Random network codes and Designs over GF(q)
predavanje
18.09.2013-20.09.2013
Gent, Belgija