Formation of sets of ternary Gold-like sequences for digital information transmission and processing systems
https://doi.org/10.17586/0021-3454-2023-66-7-568-575
Abstract
Sets of vectors of decimation indices IS(id1, id2, ..., idn) of ternary M-sequences (MS) with verification polynomials hMP(x) for periods N = 3S–1 < 20000 formed in finite fields GF(3S) for S = 3, 5, 7, 9 are presented. The sets include both the well–known decimation indices and the newly obtained indices that allow formatting sets of ternary Goldlike sequences (GLS) with a volume of N+2 and a low level of values of the periodic cross-correlation function. For the value S = 5, four additional indices were obtained to five known decimation indices, for S = 7, ten decimation indices were added to seven known indices, and for S = 9, nine decimation indices were additionally obtained to nine known indices.
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 Means of Automation of Processing and Analysis of Space Facilities Information; Lecturer
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 Means of Automation of Processing and Analysis of Space Facilities Information; Lecturer
St. Petersburg
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Review
For citations:
Starodubtsev V.G., Myshko V.V. Formation of sets of ternary Gold-like sequences for digital information transmission and processing systems. Journal of Instrument Engineering. 2023;66(7):568-575. (In Russ.) https://doi.org/10.17586/0021-3454-2023-66-7-568-575
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