Duality and Greedy Weights of Linear Codes and Projective Multisets

  • Authors:
  • Hans Georg Schaathun

  • Affiliations:
  • -

  • Venue:
  • AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
  • Year:
  • 2001

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Abstract

A projective multiset is a collection of projective points, which are not necessarily distinct. A linear code can be represented as a projective multiset, by taking the columns of a generator matrix as projective points. Projective multisets have provedv ery powerful in the study of generalised Hamming weights. In this paper we study relations between a code and its dual.