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This article is cited in 4 scientific papers (total in 4 papers)
Intersections of Shifts of Multiplicative Subgroups
I. V. Vyuginab, E. V. Solodkovaa, I. D. Shkredovcda a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b National Research University "Higher School of Economics" (HSE), Moscow
c P.G. Demidov Yaroslavl State University
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
Using Stepanov's method, we obtain an upper bound for the cardinality of the intersection of additive shifts of several multiplicative subgroups of a finite field. The resulting inequality is applied to a question dealing with the additive decomposability of subgroups.
Keywords:
multiplicative subgroup, finite field, Stepanov's method, sum of subgroups.
Received: 21.06.2015 Revised: 13.12.2015
Citation:
I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “Intersections of Shifts of Multiplicative Subgroups”, Mat. Zametki, 100:2 (2016), 185–195; Math. Notes, 100:2 (2016), 189–198
Linking options:
https://www.mathnet.ru/eng/mzm10839https://doi.org/10.4213/mzm10839 https://www.mathnet.ru/eng/mzm/v100/i2/p185
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Abstract page: | 536 | Full-text PDF : | 75 | References: | 37 | First page: | 31 |
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