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A P-Complete Weight Enumerator With Respect to Poset Metric and its MacWilliams Identity

Year 2011, Volume: 1 Issue: 1, 28 - 39, 01.01.2011

Abstract

Recently linear codes with respect to the Poset metric have been studied intensively. Poset metric includes the well-known Hamming and Rosenbloom-Tsfasman metrics as special cases. Here, we define an alternative P-complete weight enumerator of linear codes with respect to poset metric. We establish a MacWilliams identity and conclude with an illustrative example.

References

  •   R. A. Brualdi, J. Graves, K. M. Lawrence, Codes with a poset metric, Disc. Math., Dec. , 147, 57.   F. J. MacWilliams, N. J. Sloane, The Theory of Error- Correcting Codes, Amsterdam, The Netherlands: North- Holland, 1977.
  • H.K. Kim, D.Y. Oh, A Classification of Posets Admitting the MacWilliams Identity, IEEE, 2005, 51, 1424.
  •  S. Ling, C. Xing, Coding Theory A First Course. National University of Singapore, Cambridge University Pres, 2004.  
  • W.C. Huffman, V. Pless, Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003.  
  • M. Firer, L. Panek, L. Rifo, Coding in the Presence of Semantic Value of Information: Unequal Error Protection Using Poset Decoders, arXiv: 1102.3832v1, 17 Aug 2011.

Poset Metriği İçin P-Tam Ağırlık Sayacı ve MacWilliams Özdeşliği

Year 2011, Volume: 1 Issue: 1, 28 - 39, 01.01.2011

Abstract

Son zamanlarda ağırlıklı olarak poset metriğine bağlı lineer kodlar çalışılmaktadır. Poset metriği özel hal olarak iyi bilinen Hamming ile Rosenbloom-Tsfasman metriklerini içerir. Bu makalede, poset metriğine bağlı alternatif bir P-tam ağırlık sayacı tanımlanmaktadır. MacWilliams Özdeşliği ispat edilmekte ve aydınlatıcı bir örnek verilmektedir.

References

  •   R. A. Brualdi, J. Graves, K. M. Lawrence, Codes with a poset metric, Disc. Math., Dec. , 147, 57.   F. J. MacWilliams, N. J. Sloane, The Theory of Error- Correcting Codes, Amsterdam, The Netherlands: North- Holland, 1977.
  • H.K. Kim, D.Y. Oh, A Classification of Posets Admitting the MacWilliams Identity, IEEE, 2005, 51, 1424.
  •  S. Ling, C. Xing, Coding Theory A First Course. National University of Singapore, Cambridge University Pres, 2004.  
  • W.C. Huffman, V. Pless, Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003.  
  • M. Firer, L. Panek, L. Rifo, Coding in the Presence of Semantic Value of Information: Unequal Error Protection Using Poset Decoders, arXiv: 1102.3832v1, 17 Aug 2011.
There are 5 citations in total.

Details

Primary Language Turkish
Journal Section Research Articles
Authors

İrfan Şiap This is me

Seda Akbıyık, This is me

Seda Akbıyık This is me

Publication Date January 1, 2011
Published in Issue Year 2011 Volume: 1 Issue: 1

Cite

APA Şiap, İ., Akbıyık, S., & Akbıyık, S. (2011). Poset Metriği İçin P-Tam Ağırlık Sayacı ve MacWilliams Özdeşliği. Adıyaman University Journal of Educational Sciences, 1(1), 28-39.

                                                                                                                                                                                                                                                      
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