On the Complexity of One System of Linear Boolean Functions

The complexity of computing systems of linear Boolean functions by circuits in the linear basis $$\{\oplus\}$$ is considered. A tight value of the complexity of the system of linear Boolean functions with a coefficient matrix coinciding with a Hadamard matrix is established.

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Publication Details

Journal
Moscow University Mathematics Bulletin
Published
2025-04-01
DOI
https://doi.org/10.3103/s0027132225700329
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Complexity of One System of Linear Boolean Functions

Александр Викторович Чашкин
Moscow University Mathematics Bulletin
Commutative Algebra and Its Applications
article

On the Complexity of One System of Linear Boolean Functions

Александр Викторович Чашкин
article en

Abstract

The complexity of computing systems of linear Boolean functions by circuits in the linear basis $$\{\oplus\}$$ is considered. A tight value of the complexity of the system of linear Boolean functions with a coefficient matrix coinciding with a Hadamard matrix is established.

Moscow University Mathematics BulletinVol. 80(2)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 76%
Commutative Algebra and Its Applications
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On the Complexity of One System of Linear Boolean Functions — Александр Викторович Чашкин · Moscow University Mathematics Bulletin (2025) | TGRS Research Map | TGRS