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Tactical decomposition of designs over finite fields (CROSBI ID 605731)

Prilog sa skupa u zborniku | kratko priopćenje | međunarodna recenzija

Nakić, Anamari ; Pavčević, Mario Tactical decomposition of designs over finite fields // Conference on Random network codes and Designs over GF(q), Ghent, September 18-20, 2013. 2013. str. 1-1

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

Povezanost rada

Matematika