Construction of generator polynomials for residue codes of degrees $5$–$8$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 9-15
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
A generalization of quadratic residue codes for a higher degree case is considered. Properties of $h$-power residue codes are studied. In some cases, it is possible to indicate the form and method of construction of a generator polynomial. Using the results obtained here, we can construct a generator polynomial of residue codes of degrees $5$–$8$.
[1] Mak-Vilyams F., Sloen N., Teoriya kodov, ispravlyayuschikh oshibki, Svyaz, M., 1979
[2] Semenovykh D.N., O teoretiko-chislovykh zadachakh v teorii kodirovaniya, Kand. dis., M., 2006