Quantum subsystem codes drived from negacyclic codes

In this paper, we utilize negacyclic codes to construct a family of optimal subsystem codes with parameters [[q
²
+1,(q-1)
²
, 4, q-1]]
_q
> where q = 1(mod4), q = p
^τ
, τ ≥ 1 and p is an odd prime. These constructed quantum subsystem codes are different from those codes available in the literature.