International Journal of Theoretical Physics | 2019
Two Families of BCH Codes and New Quantum Codes
Abstract
In this paper, two families of Hermitian dual-containing Bose-Chau- dhuri-Hocquenghem (BCH) codes with length n=a⋅q2+12$n=a\\cdot \\frac {q^{2}+\u20091}{2}$ and n = b (q2 +\u20091) are studied, where odd a∣(q −\u20091) for odd prime power q and b∣ (q +\u20091) for even prime power q, respectively. Using these non-narrow-sense BCH codes, some new quantum BCH codes are constructed. Most of these quantum codes have better parameters than the ones in the literature.