It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family two-generator quasi-cyclic and derives sufficient conditions for these to dual-containing. Then, new method constructing binary using proposed. As an application, we construct 8 exceed the best-known results. Further, another 36 are obtained propagation ru...

Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum distance is of significance determining the error-correcting capability a code. One central themes coding theory constructions with largest possible distance. Maximum separable (MDS) and almost maximum (AMDS) optimal sub-optimal regarding Singleton bound, respectively. In this paper, six new cl...

Due to their efficient encoding and decoding algorithms, cyclic codes, a subclass of linear codes, have applications in communication systems, consumer electronics, and data storage systems. In this paper, Dickson polynomials of the first kind over finite fields are employed to construct a number of classes of cyclic codes. Lower bounds on the minimum weight of some classes of the cyclic codes ...