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Searching for high-rate convolutional codes via binary syndrome trellises

Författare

Summary, in English

Rate R=(c-1)/c convolutional codes of constraint length nu can be represented by conventional syndrome trellises with a state complexity of s=nu or by binary syndrome trellises with a state complexity of s=nu or s=nu+1, which corresponds to at most 2^s states at each trellis level. It is shown that if the parity-check polynomials fulfill certain conditions, there exist binary syndrome trellises with optimum state complexity s=nu.



The BEAST is modified to handle parity-check matrices and used to generate code tables for optimum free distance rate R=(c-1)/c, c=3,4,5, convolutional codes for conventional syndrome trellises and binary syndrome trellises with optimum state complexity. These results show that the loss in distance properties due to the optimum state complexity restriction for binary trellises is typically negligible.

Publiceringsår

2009

Språk

Engelska

Sidor

1358-1362

Publikation/Tidskrift/Serie

[Host publication title missing]

Dokumenttyp

Konferensbidrag

Ämne

  • Electrical Engineering, Electronic Engineering, Information Engineering

Conference name

IEEE International Symposium on Information Theory (ISIT), 2009

Conference date

2009-06-28 - 2009-07-03

Conference place

Seoul, Korea, Democratic People's Republic of

Status

Published

Forskningsgrupp

  • Information Theory