Minimum-weight codewords as generators of generalized Reed-Muller codes

  • Authors:

  • Peng Ding;J. D. Key

  • Affiliations:

  • Dept. of Math. Sci., Clemson Univ., SC;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We establish the range of values of ρ, where 0⩽ρ⩽m(q-1), for which the generalized Reed-Muller code RFq(ρ, m) of length qm over the field Fq of order q is spanned by its minimum-weight vectors