Mass formula for self-dual codes over Z\( _{p^2}\)
\textit{P. Gaborit} [IEEE Trans. Inf. Theory 42, No. 4, 1222--1228 (1996; Zbl 0854.94013)] found a mass formula, which gives the number of nonequivalent self-dual codes over \(\mathbb{Z}_{4}\). In this paper, the authors build on the method of Gaborit to give a mass formula for self-dual codes over \(\mathbb{Z}_{p^{2}}\), where \(p\) is an odd prime. Using the mass formula, they classify the codes of lengths up to \(n=8\) over the ring \(\mathbb{Z}_{9}, n=7\) over \(\mathbb{Z}_{25}\) and \(n=6\) over \(\mathbb{Z}_{49}\).
scientific article; zbMATH DE number 5280735