Y. Tarannikov

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20212026

most citedAn asymptotic lower bound on the number of bent functions

10 citations · 10 across the 3 of their papers we have counts for

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math.CO2025

On the number of partitions of the hypercube $Z_{q}^{n}$ into large subcubes

Yuriy Tarannikov

We prove that the number of partitions of the hypercube $Z_{q}^{n}$ into $q^{m}$ subcubes of dimension $n - m$ each for fixed $q$ , $m$ and growing $n$ is asymptotically equal to $n^{…

math.CO2021★ 10 cited

An asymptotic lower bound on the number of bent functions

V. N. Potapov, A. A. Taranenko, Yu. V. Tarannikov

A Boolean function $f$ on $n$ variables is said to be a bent function if the absolute value of all its Walsh coefficients is $2^{n /2}$ . Our main result is a new asymptotic lower bo…

On the number of partitions of the hypercube Zqn​ into large subcubes

An asymptotic lower bound on the number of bent functions

On the number of partitions of the hypercube $Z_{q}^{n}$ into large subcubes