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In this paper, we compare two generalized cyclotomic binary sequences with length 2*p*^{2} in terms of the linear complexity. One classical sequence is defined using the method introduced by Ding and Helleseth, while the other modified sequence is defined in a slightly different manner. We show that the modified sequence has linear complexity of 2*p*^{2}, which is higher than that of the classical one.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.1 pp.302-308

- Publication Date
- 2010/01/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.302

- Type of Manuscript
- PAPER

- Category
- Cryptography and Information Security

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Jingwei ZHANG, Chang-An ZHAO, Xiao MA, "On the Linear Complexity of Generalized Cyclotomic Binary Sequences with Length 2p2" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 1, pp. 302-308, January 2010, doi: 10.1587/transfun.E93.A.302.

Abstract: In this paper, we compare two generalized cyclotomic binary sequences with length 2*p*^{2} in terms of the linear complexity. One classical sequence is defined using the method introduced by Ding and Helleseth, while the other modified sequence is defined in a slightly different manner. We show that the modified sequence has linear complexity of 2*p*^{2}, which is higher than that of the classical one.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.302/_p

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@ARTICLE{e93-a_1_302,

author={Jingwei ZHANG, Chang-An ZHAO, Xiao MA, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={On the Linear Complexity of Generalized Cyclotomic Binary Sequences with Length 2p2},

year={2010},

volume={E93-A},

number={1},

pages={302-308},

abstract={In this paper, we compare two generalized cyclotomic binary sequences with length 2*p*^{2} in terms of the linear complexity. One classical sequence is defined using the method introduced by Ding and Helleseth, while the other modified sequence is defined in a slightly different manner. We show that the modified sequence has linear complexity of 2*p*^{2}, which is higher than that of the classical one.},

keywords={},

doi={10.1587/transfun.E93.A.302},

ISSN={1745-1337},

month={January},}

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TY - JOUR

TI - On the Linear Complexity of Generalized Cyclotomic Binary Sequences with Length 2p2

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 302

EP - 308

AU - Jingwei ZHANG

AU - Chang-An ZHAO

AU - Xiao MA

PY - 2010

DO - 10.1587/transfun.E93.A.302

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E93-A

IS - 1

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - January 2010

AB - In this paper, we compare two generalized cyclotomic binary sequences with length 2*p*^{2} in terms of the linear complexity. One classical sequence is defined using the method introduced by Ding and Helleseth, while the other modified sequence is defined in a slightly different manner. We show that the modified sequence has linear complexity of 2*p*^{2}, which is higher than that of the classical one.

ER -