Auto and cross correlation of well balanced sequence over odd characteristic field

Ali Md Arshad, Yasuyuki Nogami, Hiroto Ino, Satoshi Uehara

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

4 Citations (Scopus)

Abstract

In this paper, the authors have proposed a new approach for generating multi-value sequence by utilizing primitive element, trace function, and k-th power residue symbol over odd characteristic field. Let p be an odd prime and Fp be an odd characteristic prime field, m be the degree of the primitive polynomial f(x), and k be a prime factor of p - 1. In details, the procedure for generating multi-value sequence is as follows: primitive polynomial f(x) generates maximum length vector sequence, then trace function Tr(·) maps an element of extension field Fpm to an element of prime field Fp, next non-zero scalar A € Fp is added to the trace value, and finally k-th power residue symbol is utilized to map the scalars into (k + 1) values multi-value sequence. In this method, a certain mapping function Mk(·) is utilized during the autocorrelation calculation. Hence, our proposed multi-value sequence has some parameters such as p, m, k, and A. This paper discusses the period, autocorrelation, and cross-correlation properties of proposed multi-value sequence based on some experimental results.

Original languageEnglish
Title of host publicationProceedings - 2016 4th International Symposium on Computing and Networking, CANDAR 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages604-609
Number of pages6
ISBN (Electronic)9781509026555
DOIs
Publication statusPublished - Jan 13 2017
Event4th International Symposium on Computing and Networking, CANDAR 2016 - Hiroshima, Japan
Duration: Nov 22 2016Nov 25 2016

Other

Other4th International Symposium on Computing and Networking, CANDAR 2016
CountryJapan
CityHiroshima
Period11/22/1611/25/16

ASJC Scopus subject areas

  • Computer Science Applications
  • Hardware and Architecture
  • Signal Processing
  • Computer Networks and Communications

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  • Cite this

    Arshad, A. M., Nogami, Y., Ino, H., & Uehara, S. (2017). Auto and cross correlation of well balanced sequence over odd characteristic field. In Proceedings - 2016 4th International Symposium on Computing and Networking, CANDAR 2016 (pp. 604-609). [7818679] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CANDAR.2016.30