Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove a stronger form of the conjectured Cusick-Cheon lor bound for the number of quadratic balanced Boolean functions.  also prove various asymptotic results involving B(k,m), the number of balanced Boolean functions of degree @?k in m variables, in the case k=2. Finally,  connect our results for k=2 with the (still unproved) conjectures of Cusick-Cheon for the functions B(k,m) with k>2.
['Thomas W. Cusick', 'Yuri L. Borissov']
I am writing a research paper on a idea A refinement of Cusick-Cheon bound for the second order binary Reed-Muller code
[{"from": "human", "value": "I am writing a research paper on a idea A refinement of Cusick-Cheon bound for the second order binary Reed-Muller code"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove a stronger form of the conjectured Cusick-Cheon lor bound for the number of quadratic balanced Boolean functions.  also prove various asymptotic results involving B(k,m), the number of balanced Boolean functions of degree @?k in m variables, in the case k=2. Finally,  connect our results for k=2 with the (still unproved) conjectures of Cusick-Cheon for the functions B(k,m) with k>2."}]