A characterization of 𝔽q-linear subsets of affine spaces 𝔽n q2

• Autores: Edoardo Ballico
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 1, 2022, págs. 95-103
• Idioma: inglés
• DOI: 10.4067/S0719-06462022000100095
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN Sea q una potencia de primo impar. Discutimos posibles definiciones sobre 𝔽q2 (usando la forma Hermitiana) de círculos, segmentos unitarios y semi-líneas. Si usamos nuestros segmentos unitarios para definir las cápsulas convexas de un conjunto S ⊂ 𝔽n q2 for q ∉ {3, 5, 9} simplemente obtenemos el 𝔽q -generado afín de S.

  • English

    ABSTRACT Let q be an odd prime power. We discuss possible definitions over 𝔽q2 (using the Hermitian form) of circles, unit segments and half-lines. If we use our unit segments to define the convex hulls of a set S ⊂ 𝔽n q2 for q ∉ {3, 5, 9} we just get the 𝔽q-affine span of S.

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