Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that the problem of deciding whether a given rational lattice L has a vector of length less than some given value r is NP-hard under randomized reductions, even under the promise that L has exactly zero or one vector of length less than r.
['Ravi Kumar', 'D. Sivakumar']
I am writing a research paper on a idea A note on the shortest lattice vector problem
[{"from": "human", "value": "I am writing a research paper on a idea A note on the shortest lattice vector problem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that the problem of deciding whether a given rational lattice L has a vector of length less than some given value r is NP-hard under randomized reductions, even under the promise that L has exactly zero or one vector of length less than r."}]