New Quantum BCH Codes of Length n = r(q2 − 1).

Classical Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields have studied extensively. The quantum stabilizer codes with good parameters can be constructed using classical BCH codes. In this paper, we study the construction of quantum codes from nonprimitive BCH codes over the finite field F q 2 . Taking advantage of Hermitian dual containing BCH codes of length n = r(q2 − 1) over F q 2 where ordn(q2) = 4, we can construct some families of new quantum codes with good parameters. [ABSTRACT FROM AUTHOR]