Lattice Problem - Shortest Independent Vector Problem (SIVP)

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 Gettysburg speech is at once the shortest and the most famous oration in American history. Put beside it, all the whoopings of the Websters, Sumners and Everetts seem gaudy and silly. It is eloquence brought to a pellucid and almost gem-like perfection—the highest emotion reduced to a few poetical phrases.
    —H.L. (Henry Lewis)

    The real, then, is that which, sooner or later, information and reasoning would finally result in, and which is therefore independent of the vagaries of me and you. Thus, the very origin of the conception of reality shows that this conception essentially involves the notion of a COMMUNITY, without definite limits, and capable of a definite increase of knowledge.
    Charles Sanders Peirce (1839–1914)

    Our political problem now is “Can we, as a nation, continue together permanentlyforever—half slave, and half free?” The problem is too mighty for me. May God, in his mercy, superintend the solution.
    Abraham Lincoln (1809–1865)