Binary generalized (L,G) codes that are perfect in a weighted hamming metric
Tóm tắt
We propose a class of binary generalized (L,G) codes that are perfect in a weighted Hamming metric.
Tài liệu tham khảo
MacWilliams, F.J. and Sloane, N.J.A., The Theory of Error-Correcting Codes, Amsterdam: North-Holland, 1977. Translated under the title Teoriya kodov, ispravlyayushchikh oshibki, Moscow: Svyaz’, 1979.
Carlitz, L., The Arithmetic of Polynomials in a Galois Field, Amer. J. Math., 1932, vol. 54, no. 1, pp. 39–50.
Goppa, V.D., A New Class of Linear Correcting Codes, Probl. Peredachi Inf., 1970, vol. 6, no. 3, pp. 24–30 [Probl. Inf. Trans. (Engl. Transl.), 1970, vol. 6, no. 3, pp. 207–212].
Bezzateev, S.V. and Shekhunova, N.A., Generalized Goppa Codes for Correcting Localized Errors, in Proc. IEEE Int. Sympos. on Information Theory, Boston, USA, 1998, p. 377.