New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes
Journal
Quantum Information Processing
Journal Volume
18
Journal Issue
2
Pages
40
Date Issued
2019
Author(s)
Abstract
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=q2+110h, where q is an odd prime power with the form q= 10 hm+ t or q= 10 hm+ 10 h- t, where m is a positive integer, and both h and t are odd with 10 h= t2+ 1 and 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 dz of optimal asymmetric quantum codes [[n,k,dz/dx]]q2 here is larger than most of the ones given in the literature.
Type
journal article