On the length of Boolean functions in the class of exclusive-OR sums of pseudoproducts

Author:

Selezneva S. N.

Publisher

Allerton Press

Subject

Computational Mathematics,Control and Optimization,Human-Computer Interaction

Reference13 articles.

1. E. P. Ugryumov, Digital Circuit Technology (BKhV-Peterburg, St. Petersburg, 2004).

2. J. T. Astola and R. S. Stankovich, Fundamentals of Switching Theory and Logic Design (Springer-Verlag, Dordrechht, Netherlands, 2006).

3. T. Sasao and P. Besslich, “On the complexity of mod-2 sum PLA’s,” IEEE Trans. on Comput. 39, 262–266 (1990).

4. V. P. Suprun, “Complexity of Boolean functions in class of canonical polarized polynomials,” Diskret. Mat. 5(2), 111–115 (1993).

5. N. A. Peryazev, “Complexity of Boolean functions in a class of polynomial polarized forms,” Algebra Logika 34, 323–326.

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1. Lowering the T-depth of Quantum Circuits via Logic Network Optimization;ACM Transactions on Quantum Computing;2022-03-04

2. On Length of Boolean Functions of a Small Number of Variables in the Class of Pseudo-Polynomials;The Bulletin of Irkutsk State University. Series Mathematics;2020

3. Product Transformation and Heuristic EXOR-AND-OR Logic Synthesis of Incompletely Specified Functions;IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems;2017-11

4. Upper bound for the length of functions over a finite field in the class of pseudopolynomials;Computational Mathematics and Mathematical Physics;2017-05

5. Order of the length of Boolean functions in the class of exclusive-OR sums of pseudoproducts;Moscow University Computational Mathematics and Cybernetics;2016-07

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