Dertli A.Cengellenmis Y.2024-06-122024-06-1220121598-7264https://hdl.handle.net/20.500.14551/17641In this paper, we construct the ring M 2 = F 2 + u 1F 2 + u 2F 2 U 1U 2F 2, where u 2 = 1, u 22 = 1,u 1 u 2 =. Firstly, we investigate the structure of the ring. Then we describe two Gray maps which are shown to be equivalent and it is obtained that C is the Gray image of a linear code over M 2 if and only if C is invariant under the permutation group K 4 = {1,?,ß, ?ß}. Morever we investigate Euclidean self dual codes over M 2.eninfo:eu-repo/semantics/closedAccessGray Map; Lee Weight; Self Dual Code; The Codes Over The RingConference Object1521831872-s2.0-84861375556Q3