LAUSR

In this paper, some families of asymmetric quantum codes and quantum convolutional codes that satisfy the quantum Singleton bound are constructed by utilizing constacyclic codes with length $$n=\frac{q^2+1}{10h}$$n=q2+110h, where q is an odd prime power with the form $$q=10hm+t$$q=10hm+t or $$q=10hm+10h-t$$q=10hm+10h-t, where m is a positive integer, and both h and t are odd with $$10h=t^2+1$$10h=t2+1 and $$t\ge 3$$t≥3. Compared with those codes constructed in the literature, the parameters of these constructed quantum codes in this paper are more general. Moreover, the distance $$d_z$$dz of optimal asymmetric quantum codes $$[[n,k,d_z/d_x]]_{q^2}$$[[n,k,dz/dx]]q2 here is larger than most of the ones given in the literature.