The Bush matrix over a Galois field and error correcting quantum codes (Q5957180)

From the introduction we learn: ``Using the method of Bush in the construction of orthogonal arrays [see \textit{A. Hedayat}, \textit{N. Sloane} and \textit{J. Stufken}, Orthogonal arrays. Theory and applications, Springer Series in Statistics (Springer, Berlin) (1999; Zbl 0935.05001)] and the theory of characters of finite abelian groups, a family of error-correcting quantum codes is constructed. The trade-off between the dimension of the quantum code and the number of errors corrected is investigated in this class. To each prime number, an explicit family of error-correcting quantum codes is presented using the \textit{Krull-Laflamme} criterion [Phys. Rev., Vol. A 55, 900-911 (1997)] and a basic result of \textit{A. Calderbank}, \textit{E. Rains}, \textit{P. Shor} and \textit{N. Sloane} [IEEE Trans. Inf. Theory 44, 1369-1387 (1998; Zbl 0982.94029)] modified for finite abelian groups (by means of Weyl operators).''NEWLINENEWLINENEWLINEThe results obtained are too technical to mention here.