Shortest Vector Problem (SVP)
In SVP, a basis of a vector space V and a norm N (often L2) are given for a lattice L and one must find the shortest non-zero vector in V, as measured by N, in L. In other words, the algorithm should output a non-zero vector v such that .
In the -approximation version, one must find a non-zero lattice vector of length at most .
Read more about this topic: Lattice Problem
Famous quotes containing the words shortest 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.
“But a problem occurs about nothing. For that from which something is made is a cause of the thing made from it; and, necessarily, every cause contributes some assistance to the effect’s existence.”
—Anselm of Canterbury (1033–1109)