Projective planes, coverings and a network problem

Document Type

Conference Proceeding

Publication Date

5-1-2003

Abstract

A study to investigate the projective planes, coverings and a network problem is presented. The maximum mass of weighted k-arcs in projective planes of order q when q is a prime power is determined. It is observed that a problem concerning packet switched networks leads to a natural combinatorial design problem, whose solution involves (k,n)-arcs in projective planes, 3-dimensional linear codes, the theory of fractional matchings and designs which approximate projective planes.

Publication Title

Designs, Codes, and Cryptography

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