Selection of Good Lattice Points Utilizing a Cluster

نویسندگان

  • Bernhard Hechenleitner
  • Karl Entacher
چکیده

A Message Passing Interface (MPI) cluster has been used for an extensive parallel search for rank-1 lattice rules using the LLL-Spectral Test [4, 9, 13]. Our parallel search implements the traditional normalization method [6] as well as a new normalization strategy which is proposed in [3]. The resulting lattice parameters of the parallel searches are stored in a database and distributed via a Web-based application server. We shortly introduce the main concepts concerning lattice rules and the spectral test. The concepts for parallelization are explained and some results of exhaustive parallel searches for good lattice points conclude the article.

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تاریخ انتشار 2005