Metric complements to subspaces in the Boolean cube

DOI10.1134/S1990478916030108zbMath1374.94798MaRDI QIDQ2959187

Alekseĭ Konstantinovich Oblaukhov

Publication date: 9 February 2017

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

subspacecompletely regular codemetric complementmetrically regular setbent-function

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Other types of codes (94B60) Boolean functions (94D10)

Related Items (6)

Maximal metrically regular sets ⋮ The Hamming Distance Spectrum Between Self-Dual Maiorana–McFarland Bent Functions ⋮ On metric regularity of Reed-Muller codes ⋮ ON METRIC COMPLEMENTS AND METRIC REGULARITY IN FINITE METRIC SPACES ⋮ Metrical properties of self-dual bent functions ⋮ A lower bound on the size of the largest metrically regular subset of the Boolean cube

Cites Work

• The lower bound on the second-order nonlinearity of a class of Boolean functions with high nonlinearity
• Duality between bent functions and affine functions
• Completely regular codes
• On ``bent functions
• Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class
• Maximum nonlinearity of symmetric Boolean functions on odd number of variables
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