Authors: Bahattin Yildiz; Nuh Aydin
Addresses: Department of Mathematics, Fatih University, 34500 Istanbul, Turkey ' Department of Mathematics and Statistics, Kenyon College, Gambier, OH 43022, USA
Abstract: Linear codes over the ring ℤ4 + uℤ4 have been introduced recently. In this paper, we study cyclic codes over this ring. We determine algebraic structures of cyclic codes over ℤ4 + uℤ4 and obtain basic facts about their generators. Making use of their algebraic structure, we conducted a computer search for cyclic codes over ℤ4 + uℤ4 and obtained many new linear codes over ℤ4. These codes have been added to the database of ℤ4 codes.
Keywords: cyclic codes; codes over rings; linear codes.
International Journal of Information and Coding Theory, 2014 Vol.2 No.4, pp.226 - 237
Received: 11 Aug 2014
Accepted: 21 Aug 2014
Published online: 24 Nov 2014 *