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

Ali Md Arshad; Yasuyuki Nogami

doi:10.1109/ICCE-TW.2016.7520895

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

Ali Md Arshad, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509020737
DOIs	https://doi.org/10.1109/ICCE-TW.2016.7520895
Publication status	Published - Jul 25 2016
Event	3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016 - Nantou County, Taiwan, Province of China Duration: May 27 2016 → May 30 2016

Other

Other	3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016
Country/Territory	Taiwan, Province of China
City	Nantou County
Period	5/27/16 → 5/30/16

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

Access to Document

10.1109/ICCE-TW.2016.7520895

Cite this

A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field F_p . / 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 proceeding › Conference contribution

Arshad, AM & Nogami, Y 2016, A pseudo-random binary sequence generated by using primitive polynomial of degree 2 over odd characteristic field F_p 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

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