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 language | English |
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Title of host publication | Proceedings - 2016 4th International Symposium on Computing and Networking, CANDAR 2016 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 604-609 |
Number of pages | 6 |
ISBN (Electronic) | 9781509026555 |
DOIs | |
Publication status | Published - Jan 13 2017 |
Event | 4th International Symposium on Computing and Networking, CANDAR 2016 - Hiroshima, Japan Duration: Nov 22 2016 → Nov 25 2016 |
Other
Other | 4th International Symposium on Computing and Networking, CANDAR 2016 |
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Country | Japan |
City | Hiroshima |
Period | 11/22/16 → 11/25/16 |
ASJC Scopus subject areas
- Computer Science Applications
- Hardware and Architecture
- Signal Processing
- Computer Networks and Communications