Partitioned difference families: the storm has not yet passed
| Autor: | Marco Buratti, Dieter Jungnickel |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Matrix difference equation
difference matrix difference set disjoint difference family partitioned difference family Algebra and Number Theory Computer Networks and Communications Applied Mathematics Mathematical proof Microbiology Terminology Zero (linguistics) Order (exchange) FOS: Mathematics Spite Mathematics - Combinatorics Discrete Mathematics and Combinatorics Combinatorics (math.CO) Law and economics Mathematics |
| Popis: | Two years ago, we alarmed the scientific community about the large number of bad papers in the literature on {\it zero difference balanced functions}, where direct proofs of seemingly new results are presented in an unnecessarily lengthy and convoluted way. Indeed, these results had been proved long before and very easily in terms of difference families. In spite of our report, papers of the same kind continue to proliferate. Regrettably, a further attempt to put the topic in order seems unavoidable. While some authors now follow our recommendation of using the terminology of {\it partitioned difference families}, their methods are still the same and their results are often trivial or even wrong. In this note, we show how a very recent paper of this type can be easily dealt with. |
| Databáze: | OpenAIRE |
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