Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  point out a significant difference beten the linear complexity and the 2-adic complexity of periodic binary sequences. The concept of the symmetric 2-adic complexity of periodic binary sequences is presented based on this observation.  determine the expected value of the 2-adic complexity and derive a lor bound on the expected value of the symmetric 2-adic complexity of periodic binary sequences. Because the 2-adic complexity of periodic binary sequences is unstable,  present the concepts of the k-error 2-adic complexity and the k-error symmetric 2-adic complexity, and lor bounds on them are also derived.
['Honggang Hu', 'Dengguo Feng']
I am writing a research paper on a idea On the 2-adic complexity and the k-error 2-adic complexity of periodic binary sequences
[{"from": "human", "value": "I am writing a research paper on a idea On the 2-adic complexity and the k-error 2-adic complexity of periodic binary sequences"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  point out a significant difference beten the linear complexity and the 2-adic complexity of periodic binary sequences. The concept of the symmetric 2-adic complexity of periodic binary sequences is presented based on this observation.  determine the expected value of the 2-adic complexity and derive a lor bound on the expected value of the symmetric 2-adic complexity of periodic binary sequences. Because the 2-adic complexity of periodic binary sequences is unstable,  present the concepts of the k-error 2-adic complexity and the k-error symmetric 2-adic complexity, and lor bounds on them are also derived."}]