A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field

Hiroto Ino, Yasuyuki Nogami, Nasima Begum, Satoshi Uehara, Robert Morelos-Zaragoza, Tsuchiya Kazuyoshi

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

2 Citations (Scopus)

Abstract

In our previous work, the k-value pseudo random sequence generated by power residue symbol has been researched. The sequence is generated by applying a primitive polynomial over odd characteristics field, trace function, and power residue symbol. And the sequence has some interesting features such as period, periodic autocorrelation, and linear complexity. In this paper, by applying a new step into the process of generating sequence, a new generating method of k-value sequence is derived. As with the previous work, it also has some interesting features such as period, periodic autocorrelation, and periodic crosscorrelation. From the experimental results, these features are examined.

Original languageEnglish
Title of host publicationProceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages484-486
Number of pages3
ISBN (Print)9781467397971
DOIs
Publication statusPublished - Mar 2 2016
Event3rd International Symposium on Computing and Networking, CANDAR 2015 - Sapporo, Hokkaido, Japan
Duration: Dec 8 2015Dec 11 2015

Other

Other3rd International Symposium on Computing and Networking, CANDAR 2015
CountryJapan
CitySapporo, Hokkaido
Period12/8/1512/11/15

Fingerprint

Autocorrelation
Polynomials

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computer Networks and Communications

Cite this

Ino, H., Nogami, Y., Begum, N., Uehara, S., Morelos-Zaragoza, R., & Kazuyoshi, T. (2016). A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field. In Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015 (pp. 484-486). [7424761] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CANDAR.2015.53

A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field. / Ino, Hiroto; Nogami, Yasuyuki; Begum, Nasima; Uehara, Satoshi; Morelos-Zaragoza, Robert; Kazuyoshi, Tsuchiya.

Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015. Institute of Electrical and Electronics Engineers Inc., 2016. p. 484-486 7424761.

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

Ino, H, Nogami, Y, Begum, N, Uehara, S, Morelos-Zaragoza, R & Kazuyoshi, T 2016, A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field. in Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015., 7424761, Institute of Electrical and Electronics Engineers Inc., pp. 484-486, 3rd International Symposium on Computing and Networking, CANDAR 2015, Sapporo, Hokkaido, Japan, 12/8/15. https://doi.org/10.1109/CANDAR.2015.53
Ino H, Nogami Y, Begum N, Uehara S, Morelos-Zaragoza R, Kazuyoshi T. A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field. In Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015. Institute of Electrical and Electronics Engineers Inc. 2016. p. 484-486. 7424761 https://doi.org/10.1109/CANDAR.2015.53
Ino, Hiroto ; Nogami, Yasuyuki ; Begum, Nasima ; Uehara, Satoshi ; Morelos-Zaragoza, Robert ; Kazuyoshi, Tsuchiya. / A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field. Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 484-486
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