17 citations · 30 across the 4 of their papers we have counts for
7 papers
Some new orders of Hadamard and skew-Hadamard matrices
Dragomir Z. Djokovic, Oleg Golubitsky, Ilias S. Kotsireas
We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we know, such matrices have not…
Ideal-specific elimination orders form a star-shaped region
Hartwig Bosse, Christine Gärtner, Oleg Golubitsky
This paper shows that Gröbner walks aiming for the elimination of variables from a polynomial ideal can be terminated much earlier than previously known. To this end we provide an…
A Study of Optimal 4-bit Reversible Toffoli Circuits and Their Synthesis
Oleg Golubitsky, Dmitri Maslov
Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even r…
Synthesis of the Optimal 4-bit Reversible Circuits
Oleg Golubitsky, Sean M. Falconer, Dmitri Maslov
Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even r…
On the generalised Ritt problem as a computational problem
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov
The Ritt problem asks if there is an algorithm that tells whether one prime differential ideal is contained in another one if both are given by their characteristic sets. We give s…
A Bound for Orders in Differential Nullstellensatz
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov +1
We give the first known bound for orders of differentiations in differential Nullstellensatz for both partial and ordinary algebraic differential equations. This problem was previo…