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Combinatorial structure of A-codes with r-fold security

  • R. Safavi-Naini
  • L. Tombak
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 917)

Abstract

In this paper we prove two general characterization theorems for A-codes, that provide r-fold security, in terms of well-known combinatorial structures (t-designs and orthogonal arrays). We use Delsarte's linear programming method to find new bounds on the number of encoding rules for Cartesian A-codes with 1-fold and 2-folds security and show that in the latter case the bound is achieved by A-codes obtained from the dual of two well-studied error correcting codes: an MDS code and the extended Hamming code.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • R. Safavi-Naini
    • 1
  • L. Tombak
    • 1
  1. 1.Department of Computer ScienceUniversity of WollongongWollongongAustralia

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