On maximum components of a class of perfect codes
I. Yu. Mogilnykh, F.I. Solov'eva
TL;DR
This paper demonstrates the existence of a large class of extended perfect binary codes that contain maximum ij-components, expanding understanding of their structural properties.
Contribution
It introduces a new class of extended perfect binary codes with maximum ij-components, highlighting their structural significance.
Findings
Existence of large class of codes with maximum ij-components
Structural properties of these codes are characterized
Potential implications for code design and analysis
Abstract
In the paper we show the existence of a large class of extended perfect binary codes containing maximum ij-components.
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Taxonomy
Topicsgraph theory and CDMA systems · Coding theory and cryptography · semigroups and automata theory