2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160589If $N=2^k > 8$ then there exist exactly $[(k-1)/2]$ pairwise nonequivalent $Z_4$-linear Hadamard $(N,2N,N/2)$-codes and $[(k+1)/2]$ pairwise nonequivalent $Z_4$-linear extended perfect $(N,2^N/2N,4)$-codes. A recurrent construction of $Z_4$-linear Hadamard codes is given.7p. WCC-2001Information TheoryZ4-linear Hadamard and extended perfect codestext