Rodrigues, Bernardo GabrielSolé, Patrick2025-11-262025-11-262025-09Rodrigues, B.G., Solé, P. Primitive rank 3 groups, binary codes, and 3-designs. Designs, Codes and Cryptography 93, 3463–3479 (2025). https://doi.org/10.1007/s10623-025-01647-3.0925-1022 (print)1573-7586 (online)10.1007/s10623-025-01647-3http://hdl.handle.net/2263/105504DATA AVAILABILITY : Data can be provided upon request to the authors.Please read abstract in the article.en© The Author(s) 2025. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License.Partially balanced incomplete block design (PBIBD)Balanced incomplete block design (BIBD)Rank 3 groupsPrimitive rank 3 groups, binary codes, and 3-designsArticle