Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present several new constructions of differentially 4-uniform permutations over \(\mathbb{F}_{2^{2m} } \) by modifying the values of the inverse function on some subsets of \(\mathbb{F}_{2^{2m} } \). The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of crytographic substitution boxes.
['Zhengbang Zha', 'Lei Hu', 'Siwei Sun', 'Jinyong Shan']
I am writing a research paper on a idea Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$
[{"from": "human", "value": "I am writing a research paper on a idea Further results on differentially 4-uniform permutations over $\\F_{2^{2m}}$"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present several new constructions of differentially 4-uniform permutations over \\(\\mathbb{F}_{2^{2m} } \\) by modifying the values of the inverse function on some subsets of \\(\\mathbb{F}_{2^{2m} } \\). The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of crytographic substitution boxes."}]