On the Sidel'nikov Sequences as Frequency-Hopping Sequences
SCIE
SCOPUS
- Title
- On the Sidel'nikov Sequences as Frequency-Hopping Sequences
- Authors
- Han, YK; Yang, K
- Date Issued
- 2009-09
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- Abstract
- A (v, l, lambda)-FHS denotes a frequency-hopping sequence of length over a frequency set of size 1 with maximum out-of-phase Hamming autocorrelation lambda. Recently, Ding and Yin constructed two FHS families for a prime power q satisfying q = ef + 1 with positive integers e and f. Theorems 4 and 5 in their paper claim that these two FHS families include optimal (q - 1, e, f)-FHSs and (q - 1, e + 1, f - 1)-FHSs with respect to the Lempel-Greenberger bound, respectively. In this paper, we give counterexamples and make corrections to them. Furthermore, we observe that these FHSs are closely related to Sidel'nikov sequences. Based on our results on the spectrum of their Hamming autocorrelation values, we also correct the theorem on the spectrum of Hamming distances of nearly equidistant codes derived by Sidel'nikov.
- Keywords
- Cyclotomy; frequency-hopping sequences (FHSs); power residue sequences; Sidel' nikov sequences; CROSS-CORRELATION; LOWER BOUNDS; FAMILIES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28143
- DOI
- 10.1109/TIT.2009.2025569
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 55, no. 9, page. 4279 - 4285, 2009-09
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