2017
Том 69
№ 9

All Issues

Polynomials generating Hamming codes

Barashko A. S.

Full text (.pdf)


Abstract

A class of polynomials generatingq-nary Hamming codes is studied. The criteria for a polynomial to belong to this class are established for the general case and for the case of prime polynomials. The conditions are determined under which reducible polynomials do not belong to the class of polynomials generating theq-nary Hamming codes.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 987-992.

Citation Example: Barashko A. S. Polynomials generating Hamming codes // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 893–897.

Full text