@article{(Open Science Index):https://publications.waset.org/pdf/10012327, title = {Maximum Distance Separable b-Symbol Repeated-Root γ-Constacylic Codes over a Finite Chain Ring of Length 2}, author = {Jamal Laaouine and Mohammed Elhassani Charkani}, country = {}, institution = {}, abstract = {Let p be a prime and let b be an integer. MDS b-symbol codes are a direct generalization of MDS codes. The γ-constacyclic codes of length pˢ over the finite commutative chain ring Fₚm [u]/ < u² > had been classified into four distinct types, where is a nonzero element of the field Fₚm. Let C₃ be a code of Type 3. In this paper, we obtain the b-symbol distance db(C₃) of the code C₃. Using this result, necessary and sufficient conditions under which C₃ is an MDS b-symbol code are given.}, journal = {International Journal of Computer and Information Engineering}, volume = {15}, number = {11}, year = {2021}, pages = {613 - 618}, ee = {https://publications.waset.org/pdf/10012327}, url = {https://publications.waset.org/vol/179}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 179, 2021}, }