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Эта публикация цитируется в 2 научных статьях (всего в 3 статьях)
Дискретная математика и математическая кибернетика
On plateaued Boolean functions with the same spectrum support
A. V. Khalyavina, M. S. Lobanovb, Yu. V. Tarannikovb a Yandex, 16, Leo Tolstoy St., 119021, Moscow, Russia
b Mech. & Math. Department, Lomonosov Moscow State University,
119992, Moscow, Russia
Аннотация:
In the first half of the paper we give a brief review of plateaued functions, regular functions and related topics including connections with problems on subgraphs of the Hamming graph.
In the second half of the paper we discover wide infinite families of spectrum supports for which it is possible to count the number of plateaued Boolean functions with such spectrum supports and give corresponding formulas; only one infinite sequence of such spectrum supports was known before.
Ключевые слова:
plateaued functions, Boolean functions, Walsh Spectrum, Fourier spectrum, spectra, spectrum support, spectral analysis, regular functions, correlation immune functions, $m$-resilient functions, address function, recursive constructions, Hamming graph, regular graphs, equitable partitions, symmetries.
Поступила 7 ноября 2016 г., опубликована 26 декабря 2016 г.
Образец цитирования:
A. V. Khalyavin, M. S. Lobanov, Yu. V. Tarannikov, “On plateaued Boolean functions with the same spectrum support”, Сиб. электрон. матем. изв., 13 (2016), 1346–1368
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr755 https://www.mathnet.ru/rus/semr/v13/p1346
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