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

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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.

Cyclic codesExponential sumSequence familyValue distributionWeight distributionCorrelation distribution

FAN Jinmei、ZHANG Yanhai、SHI Xiubo

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College of Science, Guilin University of Technology, Guilin 541004, China

Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China

This work is supported by Scientific Research Project of Education Department of GuangxiNatural Science Foundation of China

2017KY024111502057

2019

10.1049/cje.2018.06.012

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(2)
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