New Optimal Asymmetric Quantum Codes Derived from Negacyclic Codes
Journal
International Journal of Theoretical Physics
Journal Volume
53
Journal Issue
1
Pages
72-79
Date Issued
2014
Author(s)
Abstract
The construction of quantum maximum-distance-separable (MDS) codes have been studied by many researchers for many years. Here, by using negacyclic codes, we construct two families of asymmetric quantum codes. The first family is the asymmetric quantum codes with parameters [[q2 + 1,q2 + 1-2(t+k+1),(2k+2)/(2t+2)]]q2, where 0≤t≤k≤(q-1)/2, q ≡ 1 (mod4), and k, t are positive integers. The second one is the asymmetric quantum codes with parameters [[(q2 + 1)/2,(q2+1)/2-2(t+k),(2k+1)/(2t+1)]]q2, where 1≤t≤k≤(q-1)/2, and k, t are positive integers. Moreover, the constructed asymmetric quantum codes are optimal and different from the codes available in the literature. © 2013 Springer Science+Business Media New York.
Type
journal article