On the Orthogonality of Geometric Codes

  • Authors:
  • David G. Glynn

  • Affiliations:
  • 3 St. Winifreds Place, Bryndwr, Christchurch 8005, New Zealand dglynn@mac.com

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2004

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Abstract

We solve some problems concerning the orthogonality of geometric codes associated with sets of i- and j-dimensional subspaces of PG(n, q). Various applications are found, and we discuss all the interesting cases in small dimensional spaces.