On cyclic codes over ℤ₄ + uℤ₄ and their ℤ₄-images
by Bahattin Yildiz; Nuh Aydin
International Journal of Information and Coding Theory (IJICOT), Vol. 2, No. 4, 2014

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.

Online publication date: Tue, 02-Dec-2014

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