Constructions of MDS-convolutional codes

R. Smarandache, H. Gluesing-Luerssen, J. Rosenthal

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


Maximum-distance separable (MDS) convolutional codes are characterized through the property that the free distance attains the generalized Singleton bound. The existence of MDS convolutional codes was established by two of the authors by using methods from algebraic geometry. This correspondence provides an elementary construction of MDS convolutional codes for each rate k/n and each degree δ. The construction is based on a well-known connection between quasi-cyclic codes and convolutional codes.

Original languageEnglish
Pages (from-to)2045-2049
Number of pages5
JournalIEEE Transactions on Information Theory
Issue number5
StatePublished - Jul 2001

Bibliographical note

Funding Information:
Manuscript received September 15, 1999; revised November 30, 2000. This work was supported in part by NSF under Grants DMS-96-10389 and DMS-00-72383. The work of R. Smarandache was supported by a fellowship from the Center of Applied Mathematics at the University of Notre Dame. J. Rosenthal was carrying out this work while he was a Guest Professor at EPFL in Switzerland. The material in this correspondence was presented in part at the 2000 IEEE International Symposium on Information Theory, Sorrento, Italy, June 25–30, 2000.


  • Convolutional codes
  • Generalized Singleton bound
  • Maximum-distance separable (MDS) convolutional codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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