MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING

Mehmet Özen; Fatma Zehra Uzekmek

MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING

Yıl 2016, Cilt: 6 Sayı: 1, 40 - 44, 23.07.2016

Öz

Linear codes are considered over the ring [ ]. The Lee weight enumerators, the complete weight enumerators and the symmetrized weight enumerators for the linear codes over the ring [ ] are defined and Gray map [ ] from [ ] is constructed. Then MacWilliams identities for these weight enumerators are proved.

Anahtar Kelimeler

Weight enumerator, MacWillims identities

Kaynakça

S.T. Dougherty, P. Gaborit, M. Harada & P. Sole (1999). Type II Codes over F2 uF2 Theory, 45, 32-45.
B. Yildiz & S. Karadeniz (2014). Linear Codes over ] u]: Macwilliams Identities, Projections and Formally
Self-Dual Codes, Finite Fields Appl., 27, 24-40. Yu H. & Zhu S. (2006). Identities of linear codes and their Codes over F2 uF2 and Technology of Chain, 36 (12): 1285-1288.
R.K. Bandi &M. Baintwal, Codes over ] , IEEE. u], IEEE. B. Yildiz & S. Karadeniz (2010). Linear Codes over F2 uF2 vF2 uvF2
J. Gao (2015). Some Results on Linear Codes over F p uFp u Fp, J. Appl. Math. Comput., 47:473-485.
A.R. Hammons, P.V/ Kumar, A.R. Calderbank, N.J.A. Sloane & P. Sole (1994). The ]
Linearity of Kerdock, Preparata, Goethals and Related Codes, IEEE Transactions on Information Theory, Vol. 40, No.2, pp. 301-319.

Yıl 2016, Cilt: 6 Sayı: 1, 40 - 44, 23.07.2016

Mehmet Özen Fatma Zehra Uzekmek

Öz

Kaynakça

S.T. Dougherty, P. Gaborit, M. Harada & P. Sole (1999). Type II Codes over F2 uF2 Theory, 45, 32-45.
B. Yildiz & S. Karadeniz (2014). Linear Codes over ] u]: Macwilliams Identities, Projections and Formally
Self-Dual Codes, Finite Fields Appl., 27, 24-40. Yu H. & Zhu S. (2006). Identities of linear codes and their Codes over F2 uF2 and Technology of Chain, 36 (12): 1285-1288.
R.K. Bandi &M. Baintwal, Codes over ] , IEEE. u], IEEE. B. Yildiz & S. Karadeniz (2010). Linear Codes over F2 uF2 vF2 uvF2
J. Gao (2015). Some Results on Linear Codes over F p uFp u Fp, J. Appl. Math. Comput., 47:473-485.
A.R. Hammons, P.V/ Kumar, A.R. Calderbank, N.J.A. Sloane & P. Sole (1994). The ]
Linearity of Kerdock, Preparata, Goethals and Related Codes, IEEE Transactions on Information Theory, Vol. 40, No.2, pp. 301-319.

Toplam 7 adet kaynakça vardır.

Ayrıntılar

Diğer ID	JA56CK68TR
Bölüm	Makaleler
Yazarlar	Mehmet Özen Bu kişi benim Fatma Zehra Uzekmek Bu kişi benim
Yayımlanma Tarihi	23 Temmuz 2016
Yayımlandığı Sayı	Yıl 2016 Cilt: 6 Sayı: 1

Kaynak Göster

APA	Özen, M., & Uzekmek, F. Z. (2016). MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING. TOJSAT, 6(1), 40-44.
AMA	Özen M, Uzekmek FZ. MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING. TOJSAT. Temmuz 2016;6(1):40-44.
Chicago	Özen, Mehmet, ve Fatma Zehra Uzekmek. “MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING”. TOJSAT 6, sy. 1 (Temmuz 2016): 40-44.
EndNote	Özen M, Uzekmek FZ (01 Temmuz 2016) MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING. TOJSAT 6 1 40–44.
IEEE	M. Özen ve F. Z. Uzekmek, “MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING”, TOJSAT, c. 6, sy. 1, ss. 40–44, 2016.
ISNAD	Özen, Mehmet - Uzekmek, Fatma Zehra. “MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING”. TOJSAT 6/1 (Temmuz 2016), 40-44.
JAMA	Özen M, Uzekmek FZ. MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING. TOJSAT. 2016;6:40–44.
MLA	Özen, Mehmet ve Fatma Zehra Uzekmek. “MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING”. TOJSAT, c. 6, sy. 1, 2016, ss. 40-44.
Vancouver	Özen M, Uzekmek FZ. MACWILLIAMS IDENTITIES OF LINEAR CODES OVER THE RING. TOJSAT. 2016;6(1):40-4.