Block codes on pomset metric

Given a regular multiset [Formula: see text] on text], partial order and label map defined by with we define pomset block metric the direct sum of based text]. The extends classical introduced Sudha Selvaraj generalizes poset Alves et al. over space is called determine complete weight distribution it. Further, text]-perfect codes for ideals full counts are described. Then, chain pomset, packing radius Singleton bound established. relation between maximum distance separable (MDS) any ideal investigated. Moreover, duality theorem an MDS code established when all blocks have same size.