A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp

Ali Md Arshad, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Let p be an odd prime number as the characteristic of finite field, this paper introduces a pseudo random binary sequence generated by a primitive polynomial of degree 2 over Fp, trace function, and Legendre symbol. Then, its period and autocorrelation are introduced with a small example.

Original languageEnglish
Title of host publication2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509020737
DOIs
Publication statusPublished - Jul 25 2016
Event3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016 - Nantou County, Taiwan, Province of China
Duration: May 27 2016May 30 2016

Other

Other3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016
CountryTaiwan, Province of China
CityNantou County
Period5/27/165/30/16

Fingerprint

Binary sequences
Autocorrelation
Polynomials

Keywords

  • Legendre symbol
  • primitive polynomial
  • trace function

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Media Technology
  • Computer Networks and Communications
  • Signal Processing

Cite this

Arshad, A. M., & Nogami, Y. (2016). A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp In 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016 [7520895] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCE-TW.2016.7520895

A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp . / Arshad, Ali Md; Nogami, Yasuyuki.

2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7520895.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Arshad, AM & Nogami, Y 2016, A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp in 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016., 7520895, Institute of Electrical and Electronics Engineers Inc., 3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016, Nantou County, Taiwan, Province of China, 5/27/16. https://doi.org/10.1109/ICCE-TW.2016.7520895
Arshad AM, Nogami Y. A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp In 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016. Institute of Electrical and Electronics Engineers Inc. 2016. 7520895 https://doi.org/10.1109/ICCE-TW.2016.7520895
Arshad, Ali Md ; Nogami, Yasuyuki. / A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field Fp 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016. Institute of Electrical and Electronics Engineers Inc., 2016.
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