A note on the decoding complexity of error-correcting codes

  • Authors:
  • André Gronemeier

  • Affiliations:
  • FB Informatik, University of Dortmund, Dortmund, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2006

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Abstract

A time-space tradeoff lower bound for the decoding complexity of asymptotically good error-correcting codes for oblivious write-k-times branching programs is proved. Specifically, we prove that the computation time T and space S of every oblivious write-k-times branching program that decodes an asymptotically good error-correcting code with block length n satisfy SċTk= Ω((n/k)k+1).