Some Constacyclic Codes over Z4[u]/〈u^2〉, New Gray Maps, and New Quaternary Codes

作     者：Yasemin Cengellenmis Abdullah Dertli Nuh Aydin 

作者机构：Department of Mathematics Trakya University Edirne Turkey Department of Mathematics Ondokuz Mayls University Samsun Turkey Department of Mathematics and Statistic Kenyon College Gambler OH USA 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2018年第25卷第3期

页      面：369-376页

核心收录：

学科分类：11[军事学] 1105[军事学-军队指挥学] 0709[理学-地质学] 070901[理学-矿物学、岩石学、矿床学] 07[理学] 110505[军事学-密码学] 

主　　题：constacyclic codes codes over rings quaternary codes Gray maps 

摘      要：In this paper, we study λ-constacyclic codes over the ring R = Z4 ＋ uZ4, where u^2 = 0, for λ= 1 ＋ 3u and 3 ＋ u. We introduce two new Gray maps from R to Z4^4 and show that the Gray images of λ-constacyclic codes over R are quasi-cyclic over Z4. Moreover, we present many examples of λ-constacyclic codes over R whose Z4-images have better parameters than the currently best-known linear codes over Z4.