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Formation of sets of septenary sequences with low cross-correlation level for digital information transmission systems
https://doi.org/10.17586/0021-3454-2025-68-2-105-115
Abstract
Sets of vectors of decimation indices IS = (d1, d2, …, dn) for the formation of sets of septenary sequences with a low level of mutual correlation in finite fields GF(7S) are presented. Based on the decimation of the symbols of the basic M-sequence, sets of septenary gold-like sequences with a period N = 7S–1 (S = 2, 3, 4, 5) are obtained. The values of the periodic cross-correlation function, the power of the generated sets and the number of sets with equivalent properties 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 Spacecraft Information; Senior Lecture
St. Petersburg
V. V. Myshko
A. F. Mozhaisky Military Space Academy
Russian Federation
Russian Federation
Vasiliy V. Myshko — PhD, Associate Professor; Department of Technologies and Automation Tools for Processing and Analysis of Spacecraft Information; Senior Lecturer
St. Petersburg
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Review
For citations:
Starodubtsev V.G., Myshko V.V. Formation of sets of septenary sequences with low cross-correlation level for digital information transmission systems. Journal of Instrument Engineering. 2025;68(2):105-115. (In Russ.) https://doi.org/10.17586/0021-3454-2025-68-2-105-115
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