Asymmetric quantum generalized Reed-Solomon codes

New asymmetric quantum generalized Reed-Solomon (RS) codes with parameters [[N = mn, K = m(2k - n + c), d
_z
≥ d/d
_x
≥ [d - c)]]
_q
, where q is a prime power, 1 <; k <; n <; 2k + c ≤ q
^m
, k = n - d + 1, and n, d >; c + 1, c ≥ 1, m ≥ 1 are integers, are constructed in this paper. These new codes can be utilized in quantum channels having great asymmetry.