Cross-Correlation Properties of Cyclotomic Sequences

Kai CAI; Rongquan FENG; Zhiming ZHENG

doi:10.1093/ietfec/e90-a.1.281

Cross-Correlation Properties of Cyclotomic Sequences

Kai CAI, Rongquan FENG, Zhiming ZHENG

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Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.1 pp.281-286

Publication Date: 2007/01/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e90-a.1.281

Type of Manuscript: PAPER

Category: Coding Theory

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Kai CAI, Rongquan FENG, Zhiming ZHENG, "Cross-Correlation Properties of Cyclotomic Sequences" in IEICE TRANSACTIONS on Fundamentals, vol. E90-A, no. 1, pp. 281-286, January 2007, doi: 10.1093/ietfec/e90-a.1.281.
Abstract: Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.1.281/_p

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@ARTICLE{e90-a_1_281,
author={Kai CAI, Rongquan FENG, Zhiming ZHENG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Cross-Correlation Properties of Cyclotomic Sequences},
year={2007},
volume={E90-A},
number={1},
pages={281-286},
abstract={Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.},
keywords={},
doi={10.1093/ietfec/e90-a.1.281},
ISSN={1745-1337},
month={January},}

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TY - JOUR
TI - Cross-Correlation Properties of Cyclotomic Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 281
EP - 286
AU - Kai CAI
AU - Rongquan FENG
AU - Zhiming ZHENG
PY - 2007
DO - 10.1093/ietfec/e90-a.1.281
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2007
AB - Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.
ER -