The Weight Equations for Binary Linear Codes
The system of weight equations for a binary (n, m)-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-zero words in the code. It is shown that the portion involving the variables does not depend neither on the code nor on the basis. Explicit forms of the matrix of coefficients in the system and its inverse matrix are computed.
Anahtar Kelimeler:
Turk. J. Math., 23, (1999), 465-484. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.23, iss.4.
The Weight Equations for Binary Linear Codes
The system of weight equations for a binary (n, m)-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-zero words in the code. It is shown that the portion involving the variables does not depend neither on the code nor on the basis. Explicit forms of the matrix of coefficients in the system and its inverse matrix are computed.
Keywords:
Turk. J. Math., 23, (1999), 465-484. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.23, iss.4.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
On The Artin Conductor fArtin(c) of a Character c of Gal (E/K) I: Basic Definitions
On The Asymptotic Behavior of Heegner Points
The Weight Equations for Binary Linear Codes
Ersan AKYILDIZ, Masatoshi IKEDA, İsmail Ş. GÜLOĞLU
Shafarevich-Tate set for $y^4=x^4-ell^4$
On the asymptotic behaviour of Heegner points
Jan NEKOVAR, Norbert SCHAPPACHER
The projectivity of the fundamental group of an affine line
On the Artin conductor $f_Artin(X)$ of a character $X$ of Gal (E/K) I: Basic definitions
On generalized Shioda-Inose structures