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