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环F_2+uF_2循环码及其二元象 被引量:1

Cyclic codes over F_2+uF_2 and their binary images
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摘要 进一步研究了环F2+uF2上循环码的结构;通过定义该环上的Nechaev-Gray映射而得到了一类二元循环码;最后研究了该环上循环码与其剩余码以及挠码的关系。 The structure of cyclic codes over F2+uF2 is further studied in this paper. Based on the definition of the Nechaev-Gray map, a family of binary cyclic codes which are Nechaev-Gray images of cyclic codes over F2+uF2 is given. The relation between cyclic codes and their residue codes and that between cyclic codes and their torsion codes are discussed.
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第4期496-499,共4页 Journal of Hefei University of Technology:Natural Science
基金 安徽省教育厅自然科学基金资助项目(2006KJ254B)
关键词 环F2+UF2 循环码 剩余码 挠码 Nechaev-Gray映射 ring F2+uF2 cyclic code residue code torsion code Nechaev-Gray map
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