2013 IEEE 54th Annual Symposium on Foundations of Computer Science (1990)

St. Louis, MO, USA

Oct. 22, 1990 to Oct. 24, 1990

ISBN: 0-8186-2082-X

pp: 830-839 vol.2

B. Vallee , Dept. of Math., Caen Univ., France

ABSTRACT

The lattice reduction algorithm of Gauss is shown to have an average-case complexity that is asymptotic to a constant. The analysis makes use of elementary properties of continued fractions and of linear fractional transformations.

INDEX TERMS

linear fractional transformations, average case analysis, lattice reduction algorithm, Gauss, average-case complexity, continued fractions

CITATION

P. Flajolet,
B. Vallee,
"The lattice reduction algorithm of Gauss: an average case analysis",

*2013 IEEE 54th Annual Symposium on Foundations of Computer Science*, vol. 00, no. , pp. 830-839 vol.2, 1990, doi:10.1109/FSCS.1990.89606