Abstract.
We present a sheaf-theoretic setting for convolutional codes in that coherent sheaves (over a projective line) play the same role as finite-dimensional linear spaces in the theory of block codes. Using coherent sheaves (and their cohomologies), we give natural straightforward proofs of the main results on the structural properties of convolutional codes.
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Received: May 7, 1999; revised version: August 11, 2000
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Lomadze, V. Convolutional Codes and Coherent Sheaves. AAECC 12, 273–326 (2001). https://doi.org/10.1007/s002000000048
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DOI: https://doi.org/10.1007/s002000000048