On the joint 2-adic complexity of binary multisequences
Zhao, Lu ; Wen, Qiao-Yan
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012), p. 401-412 / Harvested from Numdam
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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.

Publié le : 2012-01-01
DOI : https://doi.org/10.1051/ita/2012011
Classification:  11T71,  14G50,  94A60 
@article{ITA_2012__46_3_401_0,
     author = {Zhao, Lu and Wen, Qiao-Yan},
     title = {On the joint 2-adic complexity of binary multisequences},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     volume = {46},
     year = {2012},
     pages = {401-412},
     doi = {10.1051/ita/2012011},
     mrnumber = {2981676},
     zbl = {1277.94010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ITA_2012__46_3_401_0}
}

Zhao, Lu; Wen, Qiao-Yan. On the joint 2-adic complexity of binary multisequences. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) pp. 401-412. doi : 10.1051/ita/2012011. http://gdmltest.u-ga.fr/item/ITA_2012__46_3_401_0/

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