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

Year 2008, Volume: 9 Issue: 2 , - 9 , 05.08.2016
https://izlik.org/JA79DC32PN

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
https://izlik.org/JA79DC32PN

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
Authors

Yasemin Çengellenmiş This is me

Hülya İşcan This is me

Figen Öke This is me

Publication Date August 5, 2016
IZ https://izlik.org/JA79DC32PN
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. https://izlik.org/JA79DC32PN
AMA 1.Çengellenmiş Y, İşcan H, Öke F. GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Univ J Sci. 2016;9(2):9. https://izlik.org/JA79DC32PN
Chicago Çengellenmiş, Yasemin, Hülya İşcan, and Figen Öke. 2016. “GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR”. Trakya Üniversitesi Fen Bilimleri Dergisi 9 (2): 9. https://izlik.org/JA79DC32PN.
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 [1]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, Aug. 2016, [Online]. Available: https://izlik.org/JA79DC32PN
ISNAD Çengellenmiş, Yasemin - İşcan, Hülya - Öke, Figen. “GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR”. Trakya Üniversitesi Fen Bilimleri Dergisi 9/2 (August 1, 2016): 9. https://izlik.org/JA79DC32PN.
JAMA 1.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, Aug. 2016, p. 9, https://izlik.org/JA79DC32PN.
Vancouver 1.Yasemin Çengellenmiş, Hülya İşcan, Figen Öke. GF(3) VE GF(7) ÜZERİNDEKİ YARI-DEVİRLİ KODLAR. Trakya Univ J Sci [Internet]. 2016 Aug. 1;9(2):9. Available from: https://izlik.org/JA79DC32PN