Infinite families of MDR cyclic codes over Z4 via constacyclic codes over Z4[u]∕〈u2−1〉

Abualrub, 2007, Cyclic codes over the rings Z2+uZ2 and Z2+uZ2+u2Z2, Des. Codes Cryptogr., 42, 273, 10.1007/s10623-006-9034-5 Aydin, 2009, A database of Z4 codes, J. Comb. Inf. Syst. Sci., 34, 1 Berlekamp, 1984 Database of Z4 codes [online], http://Z4Codes.info. Freese, 2001 Kim, 2016, Construction of extremal self-dual codes over Z8 and Z16, Des. Codes Ctyptogr., 81, 239, 10.1007/s10623-015-0137-8 Kim, 2017, Lee weights of cyclic self-dual codes over galois rings of characteristic p2, Finite Fields Appl., 45, 107, 10.1016/j.ffa.2016.11.015 Kim, 2018, A mass formula for cyclic codes over galois rings of characteristic p3, Finite Fields Appl., 52, 214, 10.1016/j.ffa.2018.04.005 Martinez-Moro, 2018, Codes over affine algebras with a finite commutative chain coefficient ring, Finite Fields Appl., 49, 94, 10.1016/j.ffa.2017.09.008 Martinez-Moro, 2015, On codes over local frobenius non-chain ring of order 16, Contemp. Math., 634, 227, 10.1090/conm/634/12702 Özen, 2016, Cyclic codes and some constacyclic codes over the rings Z4[u]∕〈u2−1〉, Finite Fields Appl., 38, 27, 10.1016/j.ffa.2015.12.003 Pless, 1996, Cyclic codes and quadratic residue codes over Z4, IEEE Trans. Inform. Theory, 42, 1594, 10.1109/18.532906 Qian, 2006, (1+u)-Constacyclic and cyclic codes over F2+uF2, Appl. Math. Lett., 19, 820, 10.1016/j.aml.2005.10.011 Shi, 2017, On constacyclic codes over Z4[u]∕〈u2−1〉 and their Gray images, Finite Fields Appl., 45, 86, 10.1016/j.ffa.2016.11.016 Shi, 2016, Construction of one-gray weight codes and two-Gray weight codes over Z4+uZ4, J. Syst. Wci. Complex., 29, 1472, 10.1007/s11424-016-5286-y Wolfmann, 1999, Negacyclic and cyclic codes over Z4, IEEE Trans. Inform. Theory, 45, 2527, 10.1109/18.796397 Wolfmann, 2001, Binary images of cylic codes over Z4, IEEE Trans. Inform. Theory, 47, 1773, 10.1109/18.930917 Yildiz, 2014, Linear codes over Z4+uZ4, MacWilliams identities, projections and formally self-dual codes, Finite Fields Appl., 27, 24, 10.1016/j.ffa.2013.12.007