Technical Report CS0658

TR#:CS0658
Class:CS
Title: AN ALGORITHM FOR FINDING A SHORTEST VECTOR IN A TWO DIMENSIONAL MODULAR LATTICE
Authors: Mody Lempel and Azaria Paz
PDFCS0658.pdf
Abstract: Let 0 < a,b < d be integers with a b. The lattice Ld(a,b) is the set of all multiples of the vector (a,b) modulo d. An algorithm is presented for finding a shortest vector in Ld(a,b). The complexity of the algorithm is shown to be logarithmic in the size of d, when the number of arithmetical operations are counted.
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