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Open Access 30-10-2024 | Retraction Note

Retraction Note: Constructions for t-designs and s-resolvable t-designs

Author: Tran van Trung

Published in: Designs, Codes and Cryptography | Issue 1/2025

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Notes
The online version of the original article can be found at https://​doi.​org/​10.​1007/​s10623-024-01448-0.

Publisher’s note

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Retraction Note: Designs, Codes and Cryptography (2024) 92:3503–3514
The Editor-in-Chief has retracted this article at the request of the author. After the publication of this article, the author found an error in the proof of Theorem 2.1. The starting point of the proof is the construction of a non-simple t-design from a simple t-design. The proof is incomplete, because it is carried out by only a subset of blocks, and the claim is only valid if the simple design is also a trivial design. As a result, the argument presented does not support the statement in Theorem 2.1, on which the subsequent results are based. As this was one of the key findings of this article, the author considers that the conclusions of this work are unsupported.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://​creativecommons.​org/​licenses/​by/​4.​0/​.

Publisher’s note

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Metadata
Title
Retraction Note: Constructions for t-designs and s-resolvable t-designs
Author
Tran van Trung
Publication date
30-10-2024
Publisher
Springer US
Published in
Designs, Codes and Cryptography / Issue 1/2025
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-024-01521-8

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