Quasi-Cyclic Codes Over Finite Chain mΘ pseudo Field F(p kZ, 1)
The mΘ sets present an enrichment from the logical view- point compared with the classical sets. The subset of the mΘ invariants of a mΘ set is a classical set, which leads to the canonical construction of the structures of modal Θ-valent pseudo field. In this note the purpose is to define on a finite chain mΘ pseudo field, F(p kZ, 1), the structures of Quasi- Cyclic codes of length r.