Constructions of codes through the semigroup ring B[X;122Z0] and encoding

AbstractFor any finite commutative ring B with an identity there is a strict inclusion B[X;Z0]⊂B[X;12;Z0]⊂B[X;122Z0] of commutative semigroup rings. This work is a continuation of Shah et al. (2011) [8], in which we extend the study of Andrade and Palazzo (2005) [7] for cyclic codes through the semigroup ring B[X;12;Z0]. In this study we developed a construction technique of cyclic codes through a semigroup ring B[X;122Z0] instead of a polynomial ring. However in the second phase we independently considered BCH, alternant, Goppa, Srivastava codes through a semigroup ring B[X;122Z0]. Hence we improved several results of Shah et al. (2011) [8] and Andrade and Palazzo (2005) [7] in a broader sense