Further combinatorial constructions for optimal frequency-hopping sequences |
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| Authors: | Gennian Ge |
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| Institution: | a Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, PR China
b Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba 305-8573, Japan |
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| Abstract: | Frequency-hopping multiple-access (FHMA) spread-spectrum communication systems employing multiple frequency shift keying as data modulation technique were investigated by Fuji-Hara, Miao and Mishima R. Fuji-Hara, Y. Miao, M. Mishima, Optimal frequency hopping sequences: A combinatorial approach, IEEE Trans. Inform. Theory 50 (2004) 2408-2420] from a combinatorial approach, where a correspondence between frequency-hopping (FH) sequences and partition-type cyclic difference packings was established, and several combinatorial constructions were provided for FHMA systems with a single optimal FH sequence. In this paper, by means of this correspondence, we describe more combinatorial constructions for such optimal FH sequences. As a consequence, more new infinite series of optimal FH sequences are obtained. |
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| Keywords: | Combinatorial design Frequency-hopping sequence Optimal Partition-type cyclic difference packing Projective geometry |
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