Formation of sets of ternary Kasami-like sequences for digital information transmission systems
https://doi.org/10.17586/0021-3454-2023-66-10-807-817
Abstract
Sets of vectors of decimation indices IS(id1, id2, ..., idn) of ternary M-sequences are presented, on the basis of which small and large sets of Kasami-similar sequences (KSS) with periods N = 3S–1< 20000 are formed in finite fields GF(3S) (S = 4, 6, 8). It is shown that for even values of S, the periodic cross-correlation function of a small set of KSS is three-level with the maximum value of the module of the mutual correlation function |Rmax| = (3S/2+1)). The correlation function of a large set at S=4 is eight-level with |Rmax| = (2·3S/2+1), and at S = 6, 8 is ten-level with |Rmax| = (3S/2+1+1). The values of the volumes of small and large sets of ternary KSS 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 means for Automating the Processing and Analysis of Spacecraft Information
St. Petersburg
E. A. Chetverikov
A.F. Mozhaisky Military Space Academy
Russian Federation
Russian Federation
Evgeny A. Chetverikov - Department of Technologies and Means for Automating the Processing and Analysis of Spacecraft Information; Student
St. Petersburg
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Review
For citations:
Starodubtsev V.G., Chetverikov E.A. Formation of sets of ternary Kasami-like sequences for digital information transmission systems. Journal of Instrument Engineering. 2023;66(10):807-817. (In Russ.) https://doi.org/10.17586/0021-3454-2023-66-10-807-817
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