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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).
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참고문헌 (5)
참고문헌 신청
/ 1996 / t-designs t 3, in: The CRC Handbook of Combinatorial Designs : 47 ~ 66
/ 1999 / Design theory, Vol. 1, second ed. 69
/ 2003 / Translations of the squares in a nite eld and an innite family of3-designs 24 (3) : 253 ~ 266
/ 2005 / Field Arithmetic
/ 2007 / New innite families of3-designs from algebraic curvesover Fq 28 (4) : 1262 ~ 1269
/ 1999 / Design theory, Vol. 1, second ed. 69
/ 2003 / Translations of the squares in a nite eld and an innite family of3-designs 24 (3) : 253 ~ 266
/ 2005 / Field Arithmetic
/ 2007 / New innite families of3-designs from algebraic curvesover Fq 28 (4) : 1262 ~ 1269
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