29 citations · 139 across the 27 of their papers we have counts for
4 papers · 1 filter
Embedding in MDS codes and Latin cubes
Vladimir N. Potapov
An embedding of a code is a mapping that preserves distances between codewords. We prove that any code with code distance and length can be embedded into an MDS code with t…
An asymptotic lower bound on the number of bent functions
V. N. Potapov, A. A. Taranenko, Yu. V. Tarannikov
A Boolean function on variables is said to be a bent function if the absolute value of all its Walsh coefficients is . Our main result is a new asymptotic lower bo…
An Upper Bound on the Number of Bent Functions
Vladimir N. Potapov
The number of -ary bent functions is less than as is even and . Keywords: Boolean function, bent function, upper bound
On weight spectrum of linear codes
Vladimir N. Potapov
We study sequences of linear or affine codes with uniform weight spectrum, i.e., a part of codewords with any fixed weight tends to zero. It is proved that a sequence of linear cod…