Almost Affine Codes

  • Authors:
  • Juriaan Simonis;Alexei Ashikhmin

  • Affiliations:
  • Delft University of Technology, Faculty of Technical Mathematics and Informatics, P.O. Box 5031, 2600 GA Delft, The Netherlands;Delft University of Technology, Faculty of Technical Mathematics and Informatics, P.O. Box 5031, 2600 GA Delft, The Netherlands

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1998

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Abstract

An almost affine code is a code Cfor which the size of all codes obtained by multiple puncturingof C is a power of the alphabet size. Essentially,almost affine codes are the same as ideal perfect secret haringschemes or partial affine geometries. The present paper exploresthese interrelations, gives short proofs of known and new results,and derives some properties of the distance distribution of almostaffine codes.