On properties of a matroid connected with the construction of bijunctive consequences of Boolean equations systems
Matematičeskie voprosy kriptografii, Tome 15 (2024) no. 4, pp. 91-112
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The article is devoted to the study of linear dependencies in a set of Boolean functions represented by elementary conjunctions of length 2. Values of the number of minimal linearly dependent sets of a special type and lower estimates of the number of linearly independent sets of a given cardinality are obtained.
@article{MVK_2024_15_4_a5,
author = {A. V. Tarasov},
title = {On properties of a matroid connected with the construction of bijunctive consequences of {Boolean} equations systems},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {91--112},
year = {2024},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2024_15_4_a5/}
}
TY - JOUR AU - A. V. Tarasov TI - On properties of a matroid connected with the construction of bijunctive consequences of Boolean equations systems JO - Matematičeskie voprosy kriptografii PY - 2024 SP - 91 EP - 112 VL - 15 IS - 4 UR - http://geodesic.mathdoc.fr/item/MVK_2024_15_4_a5/ LA - ru ID - MVK_2024_15_4_a5 ER -
%0 Journal Article %A A. V. Tarasov %T On properties of a matroid connected with the construction of bijunctive consequences of Boolean equations systems %J Matematičeskie voprosy kriptografii %D 2024 %P 91-112 %V 15 %N 4 %U http://geodesic.mathdoc.fr/item/MVK_2024_15_4_a5/ %G ru %F MVK_2024_15_4_a5
A. V. Tarasov. On properties of a matroid connected with the construction of bijunctive consequences of Boolean equations systems. Matematičeskie voprosy kriptografii, Tome 15 (2024) no. 4, pp. 91-112. http://geodesic.mathdoc.fr/item/MVK_2024_15_4_a5/
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