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 shortest answer is doing.”
—English proverb, collected in George Herbert, Jacula Prudentum (1651)
“Nevertheless, in the Lord woman is not independent of man or man independent of woman. For just as woman came from man, so man comes through woman; but all things come from God.”
—Bible: New Testament, 1 Corinthians 11:11.
In v. 9, Paul wrote “Neither was man created for woman, but woman for man.”
“The problem of culture is seldom grasped correctly. The goal of a culture is not the greatest possible happiness of a people, nor is it the unhindered development of all their talents; instead, culture shows itself in the correct proportion of these developments. Its aim points beyond earthly happiness: the production of great works is the aim of culture.”
—Friedrich Nietzsche (1844–1900)