The weight hierarchies of q-ary codes of dimension 4

  • Authors:
  • W. Chen;T. Klove

  • Affiliations:
  • Inst. of Syst. Sci., Acad. Sinica, Beijing;-

  • Venue:
  • IEEE Transactions on Information Theory - Part 2
  • Year:
  • 2006

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Abstract

The weight hierarchy of a linear [n,k;q] code C over GF(q) is the sequence (d1,d2,...dk) where dτ is the smallest support of an τ-dimensional subcode of C. The possible weight hierarchies of [n,4;q] codes are studied. In particular, the possible weight hierarchies of [n,4;3] codes are determined