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

doi:10.1109/CANDAR.2015.53

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

School of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	484-486
Number of pages	3
ISBN (Electronic)	9781467397971
DOIs	https://doi.org/10.1109/CANDAR.2015.53
Publication status	Published - Mar 2 2016
Event	3rd International Symposium on Computing and Networking, CANDAR 2015 - Sapporo, Hokkaido, Japan Duration: Dec 8 2015 → Dec 11 2015

Publication series

Name	Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015

Other

Other	3rd International Symposium on Computing and Networking, CANDAR 2015
Country/Territory	Japan
City	Sapporo, Hokkaido
Period	12/8/15 → 12/11/15

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Computer Networks and Communications

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10.1109/CANDAR.2015.53

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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, Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015, 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. (Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015). doi: 10.1109/CANDAR.2015.53

Ino, Hiroto ; Nogami, Yasuyuki ; Begum, Nasima et al. / 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 (Proceedings - 2015 3rd International Symposium on Computing and Networking, CANDAR 2015).

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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.",

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AB - 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.

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

Abstract

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