On the weight distribution of convolutional codes

@article{GluesingLuerssen2005OnTW,
  title={On the weight distribution of convolutional codes},
  author={Heide Gluesing-Luerssen},
  journal={CoRR},
  year={2005},
  volume={abs/cs/0501016}
}
Detailed information about the weight distribution of a convolutional code is given by the adjacency matrix of the state diagram associated with a controller canonical form of the code. We will show that this matrix is an invariant of the code. Moreover, it will be proven that codes with the same adjacency matrix have the same dimension and the same Forney indices and finally that for one-dimensional binary convolutional codes the adjacency matrix determines the code uniquely up to monomial… CONTINUE READING
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How to compute weight enumerators for convolutional codes

  • R. J. McEliece
  • Communications and Coding (P. G. Farrell 60th…
  • 1998
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