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GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR

Year 2008, Volume: 9 Issue: 2, - 9, 05.08.2016

Abstract

p, m pozitif tamsayılar ve p ? 1 olmak üzere n = pm uzunluğundaki devirli kodlar yarıdevirli formuna dönüştürülebilir. Bu makalede iyi bilinen devirli kodlar kullanılarak GF(3) ve GF(7) üzerinde yarı-devirli kodların bazı parametreleri elde edildi.

References

  • 1. Code Tables, Bounds on the parameters of various types of codes, (www.codetables.de)
  • 2. CHEN E.Z ,Quasi-Cyclic form of Cyclic codes of Composite Length, Int. Symp. on Information Theory and its Applications, ISITA 2004, Parma, Italy, October, 10-13, pp 162-165, 2004.
  • 3. DASKALOV R , HRISTOV P ,New One-Generator Quasi-Cyclic Codes over GF(7), Problems of Information Transmission, Vol 38, No;1 , pp 50-54, 2002.
  • 4. GULLIVER T.A , New Optimal Ternary Linear Codes of Dimension 6, Ars Combin, 40, pp 97-108, 1995.
  • 5. MAC WILLIAMS F.J, SLOANE N.J.A, The Theory of Error Correcting codes, North-Holland Publishing Company,1977.
  • 6. SIAP I, RAY-CHAUDHURI D.K, New Linear Codes over 3 IF and 5 IF and Improvements on Bounds, Designs Codes and Cryptography, 21, pp 223-233 , 2000.

SOME QUASI-CYCLIC CODES OVER GF(3) AND GF(7)

Year 2008, Volume: 9 Issue: 2, - 9, 05.08.2016

Abstract

Any cyclic code with n=pm length can be put into quasi-cyclic form ,where p ? 1, p,m + ? Z . In this paper, some parameters of the Quasi-Cyclic codes over GF(3) and GF(7) are obtained by using the best known cyclic codes.

References

  • 1. Code Tables, Bounds on the parameters of various types of codes, (www.codetables.de)
  • 2. CHEN E.Z ,Quasi-Cyclic form of Cyclic codes of Composite Length, Int. Symp. on Information Theory and its Applications, ISITA 2004, Parma, Italy, October, 10-13, pp 162-165, 2004.
  • 3. DASKALOV R , HRISTOV P ,New One-Generator Quasi-Cyclic Codes over GF(7), Problems of Information Transmission, Vol 38, No;1 , pp 50-54, 2002.
  • 4. GULLIVER T.A , New Optimal Ternary Linear Codes of Dimension 6, Ars Combin, 40, pp 97-108, 1995.
  • 5. MAC WILLIAMS F.J, SLOANE N.J.A, The Theory of Error Correcting codes, North-Holland Publishing Company,1977.
  • 6. SIAP I, RAY-CHAUDHURI D.K, New Linear Codes over 3 IF and 5 IF and Improvements on Bounds, Designs Codes and Cryptography, 21, pp 223-233 , 2000.
There are 6 citations in total.

Details

Other ID JA55YE56YV
Journal Section Articles
Authors

Yasemin Çengellenmiş This is me

Hülya İşcan This is me

Figen Öke This is me

Publication Date August 5, 2016
Published in Issue Year 2008 Volume: 9 Issue: 2

Cite

APA Çengellenmiş, Y., İşcan, H., & Öke, F. (2016). GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Üniversitesi Fen Bilimleri Dergisi, 9(2), 9.
AMA Çengellenmiş Y, İşcan H, Öke F. GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Univ J Sci. August 2016;9(2):9.
Chicago Çengellenmiş, Yasemin, Hülya İşcan, and Figen Öke. “GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR”. Trakya Üniversitesi Fen Bilimleri Dergisi 9, no. 2 (August 2016): 9.
EndNote Çengellenmiş Y, İşcan H, Öke F (August 1, 2016) GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Üniversitesi Fen Bilimleri Dergisi 9 2 9.
IEEE Y. Çengellenmiş, H. İşcan, and F. Öke, “GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR”, Trakya Univ J Sci, vol. 9, no. 2, p. 9, 2016.
ISNAD Çengellenmiş, Yasemin et al. “GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR”. Trakya Üniversitesi Fen Bilimleri Dergisi 9/2 (August 2016), 9.
JAMA Çengellenmiş Y, İşcan H, Öke F. GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Univ J Sci. 2016;9:9.
MLA Çengellenmiş, Yasemin et al. “GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR”. Trakya Üniversitesi Fen Bilimleri Dergisi, vol. 9, no. 2, 2016, p. 9.
Vancouver Çengellenmiş Y, İşcan H, Öke F. GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Univ J Sci. 2016;9(2):9.