Linear-time encodable and decodable error-correcting codes

  • Authors:
  • D. A. Spielman

  • Affiliations:
  • Dept. of Math., MIT, Cambridge, MA

  • Venue:
  • IEEE Transactions on Information Theory - Part 1
  • Year:
  • 2006

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Abstract

We present a new class of asymptotically good, linear error-correcting codes. These codes can be both encoded and decoded in linear time. They can also be encoded by logarithmic-depth circuits of linear size and decoded by logarithmic depth circuits of size O(nlogn). We present both randomized and explicit constructions of these codes