A link between quasi-cyclic codes and convolutional codes

  • Authors:

  • M. Esmaeili;T. A. Gulliver;N. P. Secord;S. A. Mahmoud

  • Affiliations:

  • Dept. of Math. & Stat., Carleton Univ., Ottawa, Ont.;-;-;-

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

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Abstract

Given a quasi-cyclic code with minimum Hamming distance d, a set of convolutional codes is derived with free distance equal to d. It is shown that an increase in the rate of these codes results in a decrease in the memory length. The connection between these codes is illustrated with several well-known quasi-cyclic codes. The free distance of some partial unit memory convolutional codes can be determined using the results in this correspondence