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A link between quasi-cyclic codes and convolutional codes

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4 Author(s)
Esmaeili, M. ; Dept. of Math. & Stat., Carleton Univ., Ottawa, Ont., Canada ; Gulliver, T.A. ; Secord, N.P. ; Mahmoud, S.A.

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

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 1 )