Construction of generating polynomials for residue codes of degrees 5-8 / A. L. Artamonov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 6. P. 9-15 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

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.

Key words: quadratic residue codes, coding theory, idempotents.