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:
“The shortest way out of Manchester is notoriously a bottle of Gordons gin; out of any businessmans life there is the mirage of Paris; out of Paris, or mediocrity of talent and imagination, there are all the drugs, from subtle, all-conquering opium to cheating, cozening cocaine.”
—William Bolitho (18901930)
“The disesteem into which moralists have fallen is due at bottom to their failure to see that in an age like this one the function of the moralist is not to exhort men to be good but to elucidate what the good is. The problem of sanctions is secondary.”
—Walter Lippmann (18891974)