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Switching codes and designs

Authors: Östergård Patric Ralf Johan;

Switching codes and designs

Abstract

This paper describes the concept of ``switch'' in the study of combinatorial structures including codes, designs, and related structures. Switching is a certain local transformation that does not alter the basic parameters of a combinatorial structure. For example, a switch of a binary code is a transformation that concerns exactly one coordinate and keeps the studied parameter of the code (for instance, minimum distance) unchanged. This paper gives a precise definition for a switch for codes, designs, and related structures. Then it unifies earlier results including a new result for covering codes, and applies switching exhaustively to some common structures with small parameters.

Related Organizations
Keywords

ta113, ta213, error-correctng code, switching, ta111, Other designs, configurations, Theoretical Computer Science, Covering code, Error-correcting code, covering code, Combinatorial design, error-correcting code, Switching, Trade, Discrete Mathematics and Combinatorics, combinatorial design, trade, ta512, Linear codes (general theory)

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    19
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Average
hybrid