Low state complexity block codes via convolutional codes

  • Authors:
  • I. E. Bocharova;R. Johannesson;B. D. Kudryashov

  • Affiliations:
  • Dept. of Inf. Syst., St. Petersburg Univ. of Aerosp. Instrum., Russia;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

A new class of block codes with low state complexity of their conventional trellis representations called double zero-tail terminated convolutional codes (DZT codes) is introduced. It is shown that there exist DZT-codes meeting the Varshamov-Gilbert bound on the minimum distance and having asymptotically optimal state complexity. Two ways of constructing DZT-codes are considered. Examples of DZT-codes meeting a lower bound on the state complexity are given.