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:
“Jesus wept.”
—Bible: New Testament John, 11:35.
The shortest verse in the Bible; refers to Jesus grief at the death of Lazarus, whom he raised from the dead after four days.
“There is in fact no such thing as art for arts sake, art that stands above classes, art that is detached from or independent of politics. Proletarian literature and art are part of the whole proletarian revolutionary cause.”
—Mao Zedong (18931976)
“What had really caused the womens movement was the additional years of human life. At the turn of the century womens life expectancy was forty-six; now it was nearly eighty. Our groping sense that we couldnt live all those years in terms of motherhood alone was the problem that had no name. Realizing that it was not some freakish personal fault but our common problem as women had enabled us to take the first steps to change our lives.”
—Betty Friedan (20th century)