Trace Representation of New Generalized Cyclotomic Sequences Based on RSA Moduli

CHEN Zhi-xiong; LIU Hua-ning; YANG Yang

doi:10.3969/j.issn.0372-2112.2019.07.015

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Trace Representation of New Generalized Cyclotomic Sequences Based on RSA Moduli

更新时间：2025-07-16

- Trace Representation of New Generalized Cyclotomic Sequences Based on RSA Moduli
- Acta Electronica Sinica Vol. 47, Issue 7, Pages: 1512-1517(2019)
- 作者机构：
  
  1. 莆田学院福建省高校应用数学重点实验室,福建,莆田,351100
  2. 西北大学数学学院,陕西,西安,710127
  3. 福建师范大学数学与信息学院,福建,福州,350007
  4. 莆田学院福建省高校应用数学重点实验室,福建,莆田,351100
  5. 西北大学数学学院,陕西,西安,710127
  6. 福建师范大学数学与信息学院,福建,福州,350007
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2019.07.015
  CLC： TN918.4
- Published Online：25 July 2019，
  
  Published：2019
- 稿件说明：
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CHEN Zhi-xiong, LIU Hua-ning, YANG Yang. Trace Representation of New Generalized Cyclotomic Sequences Based on RSA Moduli[J]. Acta Electronica Sinica, 2019, 47(7): 1512-1517.
DOI：

CHEN Zhi-xiong, LIU Hua-ning, YANG Yang. Trace Representation of New Generalized Cyclotomic Sequences Based on RSA Moduli[J]. Acta Electronica Sinica, 2019, 47(7): 1512-1517. DOI： 10.3969/j.issn.0372-2112.2019.07.015.

摘要

针对最近研究的周期为

（两个不同的大素数的乘积）的一类广义割圆序列，通过计算该序列的离散傅里叶变换系数，从而确定了该序列的Mattson-Solomon多项式，并由此得到了序列的迹表示形式.

Abstract

For a new family of generalized cyclotomic sequences of period

a product of two large distinct primes

we calculate the discrete Fourier transform and hence determine Mattson-Solomon polynomial

which helps us to describe the sequences via trace functions.

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