Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A linear (q d , q, t)-perfect hash family of size s in a vector space V of order q d over a field F of order q consists of a set $$S=\{\phi_1,\ldots,\phi_s\}$$ of linear functionals from V to F with the following property: for all t subsets $$X\subseteq V$$ there exists $$\phi_i\in S$$ such that $$\phi_i$$ is injective when restricted to F. A linear (q d , q, t)-perfect hash family of minimal size d(t ? 1) is said to be optimal. ,  extend the theory for linear perfect hash families based on sequences developed by Blackburn and Wild.  develop techniques which  use to construct new optimal linear (q 2, q, 5)-perfect hash families and (q 4, q, 3)-perfect hash families. The sequence approach also explains a relationship beten linear (q 3, q, 3)-perfect hash families and linear (q 2, q, 4)-perfect hash families.
['Susan G. Barwick', 'Wen-Ai Jackson']
I am writing a research paper on a idea A sequence approach to linear perfect hash families
[{"from": "human", "value": "I am writing a research paper on a idea A sequence approach to linear perfect hash families"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A linear (q d , q, t)-perfect hash family of size s in a vector space V of order q d over a field F of order q consists of a set $$S=\\{\\phi_1,\\ldots,\\phi_s\\}$$ of linear functionals from V to F with the following property: for all t subsets $$X\\subseteq V$$ there exists $$\\phi_i\\in S$$ such that $$\\phi_i$$ is injective when restricted to F. A linear (q d , q, t)-perfect hash family of minimal size d(t ? 1) is said to be optimal. ,  extend the theory for linear perfect hash families based on sequences developed by Blackburn and Wild.  develop techniques which  use to construct new optimal linear (q 2, q, 5)-perfect hash families and (q 4, q, 3)-perfect hash families. The sequence approach also explains a relationship beten linear (q 3, q, 3)-perfect hash families and linear (q 2, q, 4)-perfect hash families."}]