Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  start a new characterization of the geometric 2-design AGd(n,q) among all simple 2-designs with the same parameters by handling the cases d ∈ {1,2,3,n — 2}. For d ≠ 1, our characterization is in terms of line sizes, and for d = 1 in terms of the number of affine hyperplanes.  also show that the number of non-isomorphic resolvable designs with the parameters of AG1(n,q) grows exponentially with linear growth of n.
['Dieter Jungnickel', 'Klaus Metsch']
I am writing a research paper on a idea The characterization problem for designs with the parameters of AGd(n, q)
[{"from": "human", "value": "I am writing a research paper on a idea The characterization problem for designs with the parameters of AGd(n, q)"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  start a new characterization of the geometric 2-design AGd(n,q) among all simple 2-designs with the same parameters by handling the cases d \u2208 {1,2,3,n \u2014 2}. For d \u2260 1, our characterization is in terms of line sizes, and for d = 1 in terms of the number of affine hyperplanes.  also show that the number of non-isomorphic resolvable designs with the parameters of AG1(n,q) grows exponentially with linear growth of n."}]