논문KCI 등재
$3$-designs derived from plane algebraic curves
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Abstract
In this paper, we develop a simple method for computing thestabilizer subgroup of a subgroup ofD(g) = f 2 Fq j there is a 2 Fq such that n = g()gin PSL2(Fq), whereq is a large odd prime power, n is a positive integerdividing q 1, and g(x) 2 Fq[x]. As an application, we construct newinnite families of 3-designs (cf. Examples 3.4 and 3.5).
참고문헌 (5)
- "Design theory, Vol. 1, second ed.", 69 (1999), Cambridge University Press
- "Field Arithmetic" (2005), Springer-Verlag, Berlin
- "Translations of the squares in a nite eld and an innite family of3-designs", 24(3), pp.253~266 (2003)
- "t-designs t 3, in: The CRC Handbook of Combinatorial Designs", pp.47~66 (1996), CRC Press, Boca Raton
- "New innite families of3-designs from algebraic curvesover Fq", 28(4), pp.1262~1269 (2007)
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