Abstract. Lattice basis reduction is an important problem in geometry of numbers with applications in combinatorial optimization, computer algebra, and cryptography. The well-known...
It is shown that a q-periodic sequence over the finite field Fq passes an extended version of Marsaglia's lattice test for high dimensions if and only if its linear complexity...
—Upper and lower bounds are derived for the decoding complexity of a general lattice L. The bounds are in terms of the dimension n and the coding gain
of L, and are obtained ba...
We present an algorithm for the c-approximate nearest neighbor problem in a d-dimensional Euclidean space, achieving query time of O(dn1/c2 +o(1) ) and space O(dn + n1+1/c2 +o(1) ...
One of the main problems connected with the formal concept analysis and lattice construction is the high complexity of algorithms which plays a significant role when computing all ...