IEICE TRANSACTIONS on Fundamentals
Trace Representation of r-Ary Sequences Derived from Euler Quotients Modulo 2p
Summary :
We introduce the r-ary sequence with period 2p2 derived from Euler quotients modulo 2p (p is an odd prime) where r is an odd prime divisor of (p-1). Then based on the cyclotomic theory and the theory of trace function in finite fields, we give the trace representation of the proposed sequence by determining the corresponding defining polynomial. Our results will be help for the implementation and the pseudo-random properties analysis of the sequences.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.12 pp.1698-1703
- Publication Date
- 2021/12/01
- Publicized
- 2021/06/21
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1014
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Rayan MOHAMMED
Northwest Normal University,Guilin University of Electronic Technology,Faculty of Mathematical Science, University of Khartoum
Xiaoni DU
Northwest Normal University
Wengang JIN
Northwest Normal University
Yanzhong SUN
Northwest Normal University
Keyword
Latest Issue
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Rayan MOHAMMED, Xiaoni DU, Wengang JIN, Yanzhong SUN, "Trace Representation of r-Ary Sequences Derived from Euler Quotients Modulo 2p" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 12, pp. 1698-1703, December 2021, doi: 10.1587/transfun.2021EAP1014.
Abstract: We introduce the r-ary sequence with period 2p2 derived from Euler quotients modulo 2p (p is an odd prime) where r is an odd prime divisor of (p-1). Then based on the cyclotomic theory and the theory of trace function in finite fields, we give the trace representation of the proposed sequence by determining the corresponding defining polynomial. Our results will be help for the implementation and the pseudo-random properties analysis of the sequences.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1014/_p
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@ARTICLE{e104-a_12_1698,
author={Rayan MOHAMMED, Xiaoni DU, Wengang JIN, Yanzhong SUN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Trace Representation of r-Ary Sequences Derived from Euler Quotients Modulo 2p},
year={2021},
volume={E104-A},
number={12},
pages={1698-1703},
abstract={We introduce the r-ary sequence with period 2p2 derived from Euler quotients modulo 2p (p is an odd prime) where r is an odd prime divisor of (p-1). Then based on the cyclotomic theory and the theory of trace function in finite fields, we give the trace representation of the proposed sequence by determining the corresponding defining polynomial. Our results will be help for the implementation and the pseudo-random properties analysis of the sequences.},
keywords={},
doi={10.1587/transfun.2021EAP1014},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Trace Representation of r-Ary Sequences Derived from Euler Quotients Modulo 2p
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1698
EP - 1703
AU - Rayan MOHAMMED
AU - Xiaoni DU
AU - Wengang JIN
AU - Yanzhong SUN
PY - 2021
DO - 10.1587/transfun.2021EAP1014
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2021
AB - We introduce the r-ary sequence with period 2p2 derived from Euler quotients modulo 2p (p is an odd prime) where r is an odd prime divisor of (p-1). Then based on the cyclotomic theory and the theory of trace function in finite fields, we give the trace representation of the proposed sequence by determining the corresponding defining polynomial. Our results will be help for the implementation and the pseudo-random properties analysis of the sequences.
ER -
English
