# On the joint 2-adic complexity of binary multisequences

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2012)

- Volume: 46, Issue: 3, page 401-412
- ISSN: 0988-3754

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topZhao, Lu, and Wen, Qiao-Yan. "On the joint 2-adic complexity of binary multisequences." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 46.3 (2012): 401-412. <http://eudml.org/doc/273002>.

@article{Zhao2012,

abstract = {Joint 2-adic complexity is a new important index of the cryptographic security for multisequences. In this paper, we extend the usual Fourier transform to the case of multisequences and derive an upper bound for the joint 2-adic complexity. Furthermore, for the multisequences with pn-period, we discuss the relation between sequences and their Fourier coefficients. Based on the relation, we determine a lower bound for the number of multisequences with given joint 2-adic complexity.},

author = {Zhao, Lu, Wen, Qiao-Yan},

journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},

keywords = {cryptography; stream cipher; FCSR; joint 2-adic complexity; usual Fourier transform; Fourier transform},

language = {eng},

number = {3},

pages = {401-412},

publisher = {EDP-Sciences},

title = {On the joint 2-adic complexity of binary multisequences},

url = {http://eudml.org/doc/273002},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Zhao, Lu

AU - Wen, Qiao-Yan

TI - On the joint 2-adic complexity of binary multisequences

JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

PY - 2012

PB - EDP-Sciences

VL - 46

IS - 3

SP - 401

EP - 412

AB - Joint 2-adic complexity is a new important index of the cryptographic security for multisequences. In this paper, we extend the usual Fourier transform to the case of multisequences and derive an upper bound for the joint 2-adic complexity. Furthermore, for the multisequences with pn-period, we discuss the relation between sequences and their Fourier coefficients. Based on the relation, we determine a lower bound for the number of multisequences with given joint 2-adic complexity.

LA - eng

KW - cryptography; stream cipher; FCSR; joint 2-adic complexity; usual Fourier transform; Fourier transform

UR - http://eudml.org/doc/273002

ER -

## References

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- [8] W. Meidl, H. Niederreiter and A. Venkateswarlu, Error linear complexity measures for multisequences. J. Complexity23 (2007) 169–192. Zbl1128.94007MR2314755
- [9] C. Seo, S. Lee, Y. Sung, K. Han and S. Kim, A lower bound on the linear span of an FCSR. IEEE Trans. Inf. Theory46 (2000) 691–693. Zbl0996.94031MR1748999

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