### 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 |
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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 (Print) | 9781467397971 |

DOIs | |

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 |

### Other

Other | 3rd International Symposium on Computing and Networking, CANDAR 2015 |
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Country | Japan |

City | Sapporo, Hokkaido |

Period | 12/8/15 → 12/11/15 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

T1 - A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field

AU - Ino, Hiroto

AU - Nogami, Yasuyuki

AU - Begum, Nasima

AU - Uehara, Satoshi

AU - Morelos-Zaragoza, Robert

AU - Kazuyoshi, Tsuchiya

PY - 2016/3/2

Y1 - 2016/3/2

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84964766177&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964766177&partnerID=8YFLogxK

U2 - 10.1109/CANDAR.2015.53

DO - 10.1109/CANDAR.2015.53

M3 - Conference contribution

AN - SCOPUS:84964766177

SN - 9781467397971

SP - 484

EP - 486

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

PB - Institute of Electrical and Electronics Engineers Inc.

ER -