Eurocode ’92 pp 369-382 | Cite as

Suboptimal Decoding of Linear Codes

  • I. I. Dumer
Part of the International Centre for Mechanical Sciences book series (CISM, volume 339)


Suboptimal decoding algorithms of linear codes in an arbitrary “symmetric” memoryless channel are considered. The decoding error probability є is upper bounded by twice the error probability є e of maximum likelihood (ML) decoding. For the q-ary codes of length n → ∞ and code rate R the asymptotic equality є ~ є e holds, while the number of decoding operations is upper bounded by the value qn(c+0(1)), where 0(1) → 0 and c = min (R(1-R), (1-R)/2). For channels with discrete (quantized) output the better estimate c = R(1-R)/(1+R) is obtained. Suboptimal coverings with polynomial construction complexity are also considered.


Error Probability Linear Code Code Rate Cyclic Code Light Vector 
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Copyright information

© Springer-Verlag Wien 1993

Authors and Affiliations

  • I. I. Dumer
    • 1
    • 2
  1. 1.Institute for Problems of Information TransmissionMoscowRussia
  2. 2.Manchester UniversityManchesterUK

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