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Tactical decomposition of designs over finite fields


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
Gent, Belgija, 2013. str. 1-1 (predavanje, međunarodna recenzija, kratko priopćenje, znanstveni)


CROSBI ID: 670720 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

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


Projekti:
MZO-ZP-036-0372785-2964 - Kombinatorički dizajni i konačne geometrije (Pavčević, Mario-Osvin, MZO ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Anamari Nakić (autor)

Avatar Url Mario-Osvin Pavčević (autor)


Citiraj ovu publikaciju:

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
Gent, Belgija, 2013. str. 1-1 (predavanje, međunarodna recenzija, kratko priopćenje, znanstveni)
Nakić, A. & Pavčević, M. (2013) Tactical decomposition of designs over finite fields. U: Conference on Random network codes and Designs over GF(q), Ghent, September 18-20, 2013.
@article{article, author = {Naki\'{c}, Anamari and Pav\v{c}evi\'{c}, Mario}, year = {2013}, pages = {1-1}, keywords = {Designs over finite fields, Tactical decomposition}, title = {Tactical decomposition of designs over finite fields}, keyword = {Designs over finite fields, Tactical decomposition}, publisherplace = {Gent, Belgija} }
@article{article, author = {Naki\'{c}, Anamari and Pav\v{c}evi\'{c}, Mario}, year = {2013}, pages = {1-1}, keywords = {Designs over finite fields, Tactical decomposition}, title = {Tactical decomposition of designs over finite fields}, keyword = {Designs over finite fields, Tactical decomposition}, publisherplace = {Gent, Belgija} }




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