
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.
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)
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)
| 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 |
