Lattice Problem - Shortest Independent Vector Problem (SIVP)

Shortest Independent Vector Problem (SIVP)

Given a lattice L of dimension n, the algorithm must output n linearly independent so that where the right hand side considers all basis of the lattice.

In the -approximate version, given a lattice L with dimension n, find n linearly independent vectors of length max |||| ≤, where is the 'th succesive mininum of .

Read more about this topic:  Lattice Problem

Famous quotes containing the words shortest, independent and/or problem:

    Cultivated labor drives out brute labor. An infinite number of shrewd men, in infinite years, have arrived at certain best and shortest ways of doing, and this accumulated skill in arts, cultures, harvestings, curings, manufactures, navigations, exchanges, constitutes the worth of our world to-day.
    Ralph Waldo Emerson (1803–1882)

    All the rights secured to the citizens under the Constitution are worth nothing, and a mere bubble, except guaranteed to them by an independent and virtuous Judiciary.
    Andrew Jackson (1767–1845)

    I don’t have any problem with a reporter or a news person who says the President is uninformed on this issue or that issue. I don’t think any of us would challenge that. I do have a problem with the singular focus on this, as if that’s the only standard by which we ought to judge a president. What we learned in the last administration was how little having an encyclopedic grasp of all the facts has to do with governing.
    David R. Gergen (b. 1942)