IEICE TRANSACTIONS on Fundamentals
Linear Complexity of New Generalized Cyclotomic Sequences of Order Two with Odd Length
Summary :
Based on the generalized cyclotomy of order two with respect to n=p1e1+1p2e2+1…ptet+1, where p1, p2, …,pt are pairwise distinct odd primes and e1, e2,…, et are non-negative integers satisfying gcd (piei (pi-1), pjej (pj-1)) = 2 for all i ≠ j, this paper constructs a new family of generalized cyclotomic sequences of order two with length n and investigates their linear complexity. In the view of cascade theory, this paper obtains the linear complexity of a representative sequence.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.8 pp.1639-1644
- Publication Date
- 2016/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E99.A.1639
- Type of Manuscript
- LETTER
- Category
- Spread Spectrum Technologies and Applications
Authors
Yu-qian ZHOU
Beijing University of Posts and Telecommunications
Fei GAO
Beijing University of Posts and Telecommunications
Jie ZHANG
Beijing University of Posts and Telecommunications
Qian-yan WEN
Beijing University of Posts and Telecommunications
Zu-ling CHANG
Zhengzhou University
Keyword
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Yu-qian ZHOU, Fei GAO, Jie ZHANG, Qian-yan WEN, Zu-ling CHANG, "Linear Complexity of New Generalized Cyclotomic Sequences of Order Two with Odd Length" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 8, pp. 1639-1644, August 2016, doi: 10.1587/transfun.E99.A.1639.
Abstract: Based on the generalized cyclotomy of order two with respect to n=p1e1+1p2e2+1…ptet+1, where p1, p2, …,pt are pairwise distinct odd primes and e1, e2,…, et are non-negative integers satisfying gcd (piei (pi-1), pjej (pj-1)) = 2 for all i ≠ j, this paper constructs a new family of generalized cyclotomic sequences of order two with length n and investigates their linear complexity. In the view of cascade theory, this paper obtains the linear complexity of a representative sequence.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.1639/_p
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@ARTICLE{e99-a_8_1639,
author={Yu-qian ZHOU, Fei GAO, Jie ZHANG, Qian-yan WEN, Zu-ling CHANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Linear Complexity of New Generalized Cyclotomic Sequences of Order Two with Odd Length},
year={2016},
volume={E99-A},
number={8},
pages={1639-1644},
abstract={Based on the generalized cyclotomy of order two with respect to n=p1e1+1p2e2+1…ptet+1, where p1, p2, …,pt are pairwise distinct odd primes and e1, e2,…, et are non-negative integers satisfying gcd (piei (pi-1), pjej (pj-1)) = 2 for all i ≠ j, this paper constructs a new family of generalized cyclotomic sequences of order two with length n and investigates their linear complexity. In the view of cascade theory, this paper obtains the linear complexity of a representative sequence.},
keywords={},
doi={10.1587/transfun.E99.A.1639},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - Linear Complexity of New Generalized Cyclotomic Sequences of Order Two with Odd Length
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1639
EP - 1644
AU - Yu-qian ZHOU
AU - Fei GAO
AU - Jie ZHANG
AU - Qian-yan WEN
AU - Zu-ling CHANG
PY - 2016
DO - 10.1587/transfun.E99.A.1639
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2016
AB - Based on the generalized cyclotomy of order two with respect to n=p1e1+1p2e2+1…ptet+1, where p1, p2, …,pt are pairwise distinct odd primes and e1, e2,…, et are non-negative integers satisfying gcd (piei (pi-1), pjej (pj-1)) = 2 for all i ≠ j, this paper constructs a new family of generalized cyclotomic sequences of order two with length n and investigates their linear complexity. In the view of cascade theory, this paper obtains the linear complexity of a representative sequence.
ER -
English
