Cyclic Codes with Four Weights and Sequence Families with Four-Valued Correlation Functions

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英文篇名：Cyclic Codes with Four Weights and Sequence Families with Four-Valued Correlation Functions 作者：FAN ; Jinmei ; ZHANG ; Yanhai ; SHI ; Xiubo 英文作者：FAN Jinmei;ZHANG Yanhai;SHI Xiubo;College of Science, Guilin University of Technology;Faculty of Mathematics and Statistics, Hubei University; 英文关键词：Cyclic codes;;Exponential sum;;Sequence family;;Value distribution;;Weight distribution;;Correlation distribution 中文刊名：EDZX 英文刊名：电子学报(英文) 机构：College of Science, Guilin University of Technology;Faculty of Mathematics and Statistics, Hubei University; 出版日期：2019-03-15 出版单位：Chinese Journal of Electronics 年：2019 期：v.28 基金：supported by Scientific Research Project of Education Department of Guangxi(No.2017KY0241);; Natural Science Foundation of China(No.11502057) 语种：英文; 页：EDZX201902010 页数：6 CN：02 ISSN：10-1284/TN 分类号：69-74

摘要

The value distribution of an exponential sum based on a class of Niho exponents is determined.As applications, we also completely determine the weight distribution of a class of four-weight cyclic codes and the correlation distribution among sequences in a sequence family, which extend some known results.
        The value distribution of an exponential sum based on a class of Niho exponents is determined.As applications, we also completely determine the weight distribution of a class of four-weight cyclic codes and the correlation distribution among sequences in a sequence family, which extend some known results.

引文

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