Formation of sets of five-fold gold-type sequences for digital information transmission systems
https://doi.org/10.17586/0021-3454-2024-67-2-107-115
Abstract
Sets of vectors of decimation indices IS = (id1, id2, …, idn) for the formation of sets of five-fold Gold-type sequences in finite fields GF(5S) (S = 3, 4, 5, 6) based on М- sequences with verification polynomials hМП(x) for periods N = 5S – 1 < 20 000, are presented. The sets include both the well–known decimation indices obtained by Trachtenberg, Helleset, Kumar and satisfying the condition LCD(idi, 5S – 1) = 1 (LCD is the largest common divisor), and the newly found indices that allow the formation of sets of five-fold Gold-type sequences with volumes VS = N + 1 and low levels of periodic auto- and the cross-correlation functions. For the considered values of S, boundary estimates of the maximum value of the correlation function modulus |Rmax| are given.
About the Authors
V. G. Starodubtsev
A. F. Mozhaisky Military Space Academy
Russian Federation
Russian Federation
Victor G. Starodubtsev – PhD, Associate Professor; Department of Technologies and Automation Tools for Processing and Analysis of Space Equipment Information; Lecturer
St. Petersburg
V. V. Tkachenko
A. F. Mozhaisky Military Space Academy
Russian Federation
Russian Federation
Vladimir V. Tkachenko – PhD, Associate Professor; Department of Technologies and Automation Tools for Processing and Analysis of Space Equipment Information; Senior Lecturer
St. Petersburg
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Review
For citations:
Starodubtsev V.G., Tkachenko V.V. Formation of sets of five-fold gold-type sequences for digital information transmission systems. Journal of Instrument Engineering. 2024;67(2):107-115. (In Russ.) https://doi.org/10.17586/0021-3454-2024-67-2-107-115
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