Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq
Summary :
In this letter, we first introduce a new generalized cyclotomic sequence of order two of length pq, then we calculate its linear complexity and minimal polynomial. Our results show that this sequence possesses both high linear complexity and optimal balance on 1 s and 0 s, which may be attractive for use in stream cipher cryptosystems.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.5 pp.1001-1005
- Publication Date
- 2013/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.1001
- Type of Manuscript
- LETTER
- Category
- Cryptography and Information Security
Authors
Keyword
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Xiaoping LI, Wenping MA, Tongjiang YAN, Xubo ZHAO, "Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 5, pp. 1001-1005, May 2013, doi: 10.1587/transfun.E96.A.1001.
Abstract: In this letter, we first introduce a new generalized cyclotomic sequence of order two of length pq, then we calculate its linear complexity and minimal polynomial. Our results show that this sequence possesses both high linear complexity and optimal balance on 1 s and 0 s, which may be attractive for use in stream cipher cryptosystems.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.1001/_p
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@ARTICLE{e96-a_5_1001,
author={Xiaoping LI, Wenping MA, Tongjiang YAN, Xubo ZHAO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq},
year={2013},
volume={E96-A},
number={5},
pages={1001-1005},
abstract={In this letter, we first introduce a new generalized cyclotomic sequence of order two of length pq, then we calculate its linear complexity and minimal polynomial. Our results show that this sequence possesses both high linear complexity and optimal balance on 1 s and 0 s, which may be attractive for use in stream cipher cryptosystems.},
keywords={},
doi={10.1587/transfun.E96.A.1001},
ISSN={1745-1337},
month={May},}
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TY - JOUR
TI - Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1001
EP - 1005
AU - Xiaoping LI
AU - Wenping MA
AU - Tongjiang YAN
AU - Xubo ZHAO
PY - 2013
DO - 10.1587/transfun.E96.A.1001
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2013
AB - In this letter, we first introduce a new generalized cyclotomic sequence of order two of length pq, then we calculate its linear complexity and minimal polynomial. Our results show that this sequence possesses both high linear complexity and optimal balance on 1 s and 0 s, which may be attractive for use in stream cipher cryptosystems.
ER -
English
