Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let Z/(pe) be the integer residue ring modulo pe with p an odd prime and e ≥ 2.  consider the suniform property of compressing sequences derived from primitive sequences over Z/(pe).  give necessary and sufficient conditions for two compressing sequences to be s-uniform with α provided that the compressing map is of the form ϕ(x0, x1,...,xe−1) = g(xe−1) + η(x0, x1,..., xe−2), where g(xe−1) is a permutation polynomial over Z/(p) and η is an (e − 1)-variable polynomial over Z/(p).
['Yupeng Jiang', 'Qunxiong Zheng', 'Dongdai Lin']
I am writing a research paper on a idea On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers
[{"from": "human", "value": "I am writing a research paper on a idea On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let Z/(pe) be the integer residue ring modulo pe with p an odd prime and e \u2265 2.  consider the suniform property of compressing sequences derived from primitive sequences over Z/(pe).  give necessary and sufficient conditions for two compressing sequences to be s-uniform with \u03b1 provided that the compressing map is of the form \u03d5(x0, x1,...,xe\u22121) = g(xe\u22121) + \u03b7(x0, x1,..., xe\u22122), where g(xe\u22121) is a permutation polynomial over Z/(p) and \u03b7 is an (e \u2212 1)-variable polynomial over Z/(p)."}]