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

Fan Jinmei; Zhang Yanhai; Shi Xiubo

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

机译：具有四个权重的循环码和具有四值相关函数的序列族

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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.

机译：基于一类Niho指数确定指数和的值分布。作为应用，我们还可以完全确定一类四权重循环码的权重分布以及序列家族中序列之间的相关性分布，从而扩展了一些已知的结果。

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来源
《Chinese Journal of Electronics》 |2019年第2期|288-293|共6页
作者
Fan Jinmei; Zhang Yanhai; Shi Xiubo;
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作者单位

Guilin Univ Technol Coll Sci Guilin 541004 Peoples R China|Hubei Univ Fac Math & Stat Wuhan 430062 Hubei Peoples R China;

Guilin Univ Technol Coll Sci Guilin 541004 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Cyclic codes; Exponential sum; Sequence family; Value distribution; Weight distribution; Correlation distribution;

机译：循环码;指数和序列家族;价值分配;重量分布相关分布;

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专利

1. Cyclic Codes with Four Weights and Sequence Families with Four-Valued Correlation Functions [J] . FAN Jinmei, ZHANG Yanhai, SHI Xiubo 中国电子杂志（英文版） . 2019,第002期

机译：具有四个权重的循环码和具有四值相关函数的序列族
2. Cyclic Codes with Four Weights and Sequence Families with Four-Valued Correlation Functions [J] . FAN Jinmei, ZHANG Yanhai, SHI Xiubo 电子学报（英文版） . 2019,第002期

机译：具有四个权重的循环码和具有四值相关函数的序列族
3. On Four-Valued Niho-Type Cross-Correlation Functions of $m$-Sequences [J] . Ranto K., Rosendahl P. IEEE Transactions on Information Theory . 2006,第期

机译：$ m $-序列的四值Niho型互相关函数
4. Correlation functions of p-ary d-form sequences and a family ofp-ary 2-form sequences [C] . Wei Sun, Yi Xian Yang Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on . -1

机译：p元d形式序列和一个家族的相关函数p元2形式序列
5. MULTI-VALUED CROSS-CORRELATION FUNCTIONS BETWEEN TWO MAXIMAL LINEAR RECURSIVE SEQUENCES ON COMMA-FREE CODES. [D] . NIHO, YOJI. 1972

机译：无逗号码上的两个最大线性递归序列之间的多值互相关函数。
6. Sequence-function correlations and dynamics of ERG isoforms. ERG8 is the black sheep of the family [O] . Bastian Hoesel, Naila Malkani, Bernhard Hochreiter, -1

机译：序列功能相关性和ERG亚型的动力学。 ERG8是家族的败类
7. Weight divisibility of cyclic codes, highly nonlinear functions on F2m, and crosscorrelation of maximum-length sequences [O] . Canteaut, Anne, Charpin, Pascale, Dobbertin, Hans 2000

机译：循环码的可除性，F2m上的高度非线性函数以及最大长度序列的互相关

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

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