In this paper we obtain a new description of the translation dual of a semifield introduced in [G. Lunardon, Translation ovoids, J. Geom. 76 (2003) 200–215]. Using such a description we are able to prove that a semifield and its translation dual have nuclei of the same order. Combining the Knuth cubical array and the translation dual, we give an alternate description of the chain of twelve semifields in the table of [S. Ball, G.L. Ebert, M. Lavrauw, A geometric construction of finite semifields, J. Algebra 311 (2007) 117–129].
Translation dual of a semifield / Lunardon, Guglielmo; Marino, G.; Polverino, O.; Trombetti, Rocco. - In: JOURNAL OF COMBINATORIAL THEORY. SERIES A. - ISSN 0097-3165. - STAMPA. - 115:8(2008), pp. 1321-1332.
Translation dual of a semifield
LUNARDON, GUGLIELMO;G. MARINO;TROMBETTI, ROCCO
2008
Abstract
In this paper we obtain a new description of the translation dual of a semifield introduced in [G. Lunardon, Translation ovoids, J. Geom. 76 (2003) 200–215]. Using such a description we are able to prove that a semifield and its translation dual have nuclei of the same order. Combining the Knuth cubical array and the translation dual, we give an alternate description of the chain of twelve semifields in the table of [S. Ball, G.L. Ebert, M. Lavrauw, A geometric construction of finite semifields, J. Algebra 311 (2007) 117–129].| File | Dimensione | Formato | |
|---|---|---|---|
|
TranslationDualReprint.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso privato/ristretto
Dimensione
155.78 kB
Formato
Adobe PDF
|
155.78 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
TranslationDualReprint.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Dominio pubblico
Dimensione
155.78 kB
Formato
Adobe PDF
|
155.78 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
