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The BCJR Trellis and Trellis Decoders for Some BCH Codes

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

This paper provides an overview of trellis descriptions for block codes. The design and implementation of efficient trellis decoders for the (32, 26) and the (32, 21) BCH codes is then considered in some detail. Minimum edge and vertex counts for the (32, 26) code are derived, and then generalized for arbitrary extended Hamming codes. A subcode analysis technique is used to tighten the lower bound on edge complexity for the (32, 21) code. A trellis is then found that satisfies the optimized lower bound with equality.

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Authors and Affiliations

  1. Lucent Technologies, Allentown, PA 18103, USA, , , , , , US

    Xiao-an Wang

  2. School of Electrical Engineering, Cornell University, Ithaca, NY 14853, USA, , , , , , US

    Stephen B. Wicker

Authors
  1. Xiao-an Wang
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  2. Stephen B. Wicker
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Received: February 11, 1998; revised version: March 10, 1999

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Wang, Xa., Wicker, S. The BCJR Trellis and Trellis Decoders for Some BCH Codes. AAECC 9, 521–546 (1999). https://doi.org/10.1007/s002000050116

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  • DOI: https://doi.org/10.1007/s002000050116