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

Öz

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.

Anahtar Kelimeler

• Devirli kodlar, Yarı-devirli kodlar

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

Öz

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.

Anahtar Kelimeler

• Cyclic codes, GF(q), Quasi-cyclic codes

Kaynakça

1. 1. Code Tables, Bounds on the parameters of various types of codes, (www.codetables.de)
2. 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. 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. 4. GULLIVER T.A , New Optimal Ternary Linear Codes of Dimension 6, Ars Combin, 40, pp 97-108, 1995.
5. 5. MAC WILLIAMS F.J, SLOANE N.J.A, The Theory of Error Correcting codes, North-Holland Publishing Company,1977.
6. 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.