Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  explores the use of the double-base number system (DBNS) for constant integer multiplication. The DBNS recoding scheme represents integers - in this case constants in a multiple-radix way in the hope of minimizing the number of additions to be performed during constant multiplication. On the theoretical side,  propose a formal proof which shows that our recoding technique diminishes the number of additions in a sublinear way. Therefore,  prove Lefevre's conjecture that the multiplication by an integer constant is achievable in sublinear time. In a second part,  investigate various strategies and  provide numerical data showcasing the potential interest of our approach.
['Vassil S. Dimitrov', 'Laurent Imbert', 'Andrew Zakaluzny']
I am writing a research paper on a idea Multiplication by a Constant is Sublinear
[{"from": "human", "value": "I am writing a research paper on a idea Multiplication by a Constant is Sublinear"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  explores the use of the double-base number system (DBNS) for constant integer multiplication. The DBNS recoding scheme represents integers - in this case constants in a multiple-radix way in the hope of minimizing the number of additions to be performed during constant multiplication. On the theoretical side,  propose a formal proof which shows that our recoding technique diminishes the number of additions in a sublinear way. Therefore,  prove Lefevre's conjecture that the multiplication by an integer constant is achievable in sublinear time. In a second part,  investigate various strategies and  provide numerical data showcasing the potential interest of our approach."}]