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:
“The Gettysburg speech is at once the shortest and the most famous oration in American history. Put beside it, all the whoopings of the Websters, Sumners and Everetts seem gaudy and silly. It is eloquence brought to a pellucid and almost gem-like perfectionthe highest emotion reduced to a few poetical phrases.”
—H.L. (Henry Lewis)
“The soul of me is very selfish. I have gone my way after a fashion that made me the center of the plan. And you who are so individual, who are so independent a spirit, whose soul is also a kingdom, have been so loyal, so forgiving, so self-sacrificing in your willingness to live my life. Nothing but love cold have accomplished so wonderful a thing.”
—Woodrow Wilson (18561924)
“You are a problem and rune,
you are mystery;
writ on a stone.”
—Hilda Doolittle (18861961)