Linear spans of optimal sets of frequency hopping sequences

Gao Juntao; Hu Yupu; Li Xuelian

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

  • Volume: 46, Issue: 3, page 343-354
  • ISSN: 0988-3754

Abstract

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Frequency hopping sequences sets are required in frequency hopping code division multiple access systems. For the anti-jamming purpose, frequency hopping sequences are required to have a large linear span. In this paper, by using a permutation polynomial δ(x) over a finite field, we transform several optimal sets of frequency hopping sequences with small linear span into ones with large linear span. The exact values of the linear span are presented by using the methods of counting the terms of the sequences representations. The results show that the transformed frequency hopping sequences are optimal with respect to the Peng-Fan bound, and can resist the analysis of Berlekamp-Massey algorithm.

How to cite

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Juntao, Gao, Yupu, Hu, and Xuelian, Li. "Linear spans of optimal sets of frequency hopping sequences." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 46.3 (2012): 343-354. <http://eudml.org/doc/273034>.

@article{Juntao2012,
abstract = {Frequency hopping sequences sets are required in frequency hopping code division multiple access systems. For the anti-jamming purpose, frequency hopping sequences are required to have a large linear span. In this paper, by using a permutation polynomial δ(x) over a finite field, we transform several optimal sets of frequency hopping sequences with small linear span into ones with large linear span. The exact values of the linear span are presented by using the methods of counting the terms of the sequences representations. The results show that the transformed frequency hopping sequences are optimal with respect to the Peng-Fan bound, and can resist the analysis of Berlekamp-Massey algorithm.},
author = {Juntao, Gao, Yupu, Hu, Xuelian, Li},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {frequency hopping sequences; linear span; permutation polynomials; optimal sets},
language = {eng},
number = {3},
pages = {343-354},
publisher = {EDP-Sciences},
title = {Linear spans of optimal sets of frequency hopping sequences},
url = {http://eudml.org/doc/273034},
volume = {46},
year = {2012},
}

TY - JOUR
AU - Juntao, Gao
AU - Yupu, Hu
AU - Xuelian, Li
TI - Linear spans of optimal sets of frequency hopping sequences
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2012
PB - EDP-Sciences
VL - 46
IS - 3
SP - 343
EP - 354
AB - Frequency hopping sequences sets are required in frequency hopping code division multiple access systems. For the anti-jamming purpose, frequency hopping sequences are required to have a large linear span. In this paper, by using a permutation polynomial δ(x) over a finite field, we transform several optimal sets of frequency hopping sequences with small linear span into ones with large linear span. The exact values of the linear span are presented by using the methods of counting the terms of the sequences representations. The results show that the transformed frequency hopping sequences are optimal with respect to the Peng-Fan bound, and can resist the analysis of Berlekamp-Massey algorithm.
LA - eng
KW - frequency hopping sequences; linear span; permutation polynomials; optimal sets
UR - http://eudml.org/doc/273034
ER -

References

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