Rectangular Codes and Rectangular Algebra

  • Authors:
  • Vladimir Sidorenko;Johannes Maucher;Martin Bossert

  • Affiliations:
  • -;-;-

  • Venue:
  • AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
  • Year:
  • 1999

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Abstract

We investigate general properties of rectangular codes. The class of rectangular codes includes all linear, group, and many nongroup codes. We define a basis of a rectangular code. This basis gives a universal description of a rectangular code. In this paper the rectangular algebra is defined. We show that all bases of a t-rectangular code have the same cardinality. Bounds on the cardinality of a basis of a rectangular code are given.