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 way out of Manchester is notoriously a bottle of Gordon’s gin; out of any businessman’s 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 (1890–1930)
“So far as I am individually concerned, & independent of my pocket, it is my earnest desire to write those sort of books which are said to “fail.””
—Herman Melville (1819–1891)
“Consciousness is what makes the mind-body problem really intractable.”
—Thomas Nagel (b. 1938)