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LatticeReduce


 A friend of mine asked me the following question:


 I am constructing an integer lattice of rank d as the span of n integer
 vectors in R^d with  n > d . I want to use the LLL algorithm to reduce to
 a basis (of size d). Unfortunately, LatticeReduce in Mathematica seems to
 require n=d. I need to use LLL in order to find short vectors in the
 lattice. What should I do ?


 Can someone help ?


 Shiv Gupta
 Department of Mathematics and Computer Science
 West Chester University
 West Chester, PA 19383
 email:  SGUPTA at WCU.BITNET






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