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New advances in designs, codes and cryptography, Stinson66, Toronto, Canada, June 13–17, 2022. (English) Zbl 1537.05001

Fields Institute Communications 86. Cham: Springer (ISBN 978-3-031-48678-4/hbk; 978-3-031-48681-4/pbk; 978-3-031-48679-1/ebook). xxvii, 425 p. (2024).

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Publisher’s description: This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible surveys of topics in combinatorial designs and related topics, ranging from a tutorial survey of connections to classical group theory, to surveys of “hot topics” in current research. It also contains a prospective paper identifying topics for future research efforts, co-authored by one of the elder statesmen of the field, Alex Rosa. Finally, the research papers examine topics ranging from pure mathematics to applied work in computing, networking, communications, and cryptography.
For students and newcomers to these topics, the volume provides accessible survey material that does not have onerous prerequisites. The breadth of topics reflects the vibrancy of the field in a way that can be appreciated by all researchers. The papers present important advances on theory and applications,which also benefit advanced researchers.
The articles of this volume will be reviewed individually.
Indexed articles:
Bodkin, Carly; Wanless, Ian M., Mutually orthogonal binary frequency squares of mixed type, 1-23 [Zbl 07921190]
Buratti, Marco, Tight Heffter arrays from finite fields, 25-36 [Zbl 07921191]
Burgess, Andrea C.; Danziger, Peter H.; Traetta, Tommaso, A survey on constructive methods for the Oberwolfach problem and its variants, 37-62 [Zbl 07921192]
Colbourn, Charles J., Asymptotic existence of egalitarian Steiner 2-designs, 63-75 [Zbl 07921193]
D’Arco, Paolo; De Santis, Alfredo, Private computations on set intersection, 77-95 [Zbl 07921194]
Darijani, Iren; Pike, David A., Colourings of path systems, 97-123 [Zbl 07921195]
Dutta, Sabyasachi; Jiang, Shaoquan; Safavi-Naini, Reihaneh, A lower bound on the share size of leakage-resilient secret-sharing schemes, 125-139 [Zbl 07921196]
Epstein, Michael; Kreher, Donald L.; Magliveras, Spyros S., Small transitive homogeneous \(3\)-\((v,\{4,6\},1)\) designs, 141-154 [Zbl 07921197]
Heinlein, Daniel; Östergård, Patric R. J., Constructing random Steiner triple systems: an experimental study, 155-176 [Zbl 07921198]
Huczynska, Sophie; Paterson, Maura B., Decomposing complete graphs into isomorphic complete multipartite graphs, 177-194 [Zbl 07921189]
Idalino, Thaís Bardini; Moura, Lucia, A survey of cover-free families: constructions, applications, and generalizations, 195-239 [Zbl 07921199]
Jedwab, Jonathan; Li, Shuxing, Group rings and character sums: tricks of the trade, 241-266 [Zbl 07921200]
Ji, Lijun, An alternative existence proof for LSTS\((24k+1)\), 267-276 [Zbl 07921201]
Kharaghani, Hadi; Suda, Sho, On a class of optimal constant weight codes, 277-287 [Zbl 07921202]
Kotsireas, Ilias S.; Winterhof, Arne, Quaternary Legendre pairs, 289-304 [Zbl 07921203]
Lamken, Esther R., Self-orthogonal Latin squares and room squares, 305-316 [Zbl 07921204]
Li, Dongliang; Cao, Haitao; Shen, Cong, On the spectrum of large sets plus of partitioned incomplete Latin squares of type \(g^n (2g)^1\), 317-326 [Zbl 07921205]
Luo, Guiwen; Gong, Guang, On the optimization of Pippenger’s bucket method with precomputation, 327-343 [Zbl 07921206]
Meszka, Mariusz; Rosa, Alexander, Block size five: quo vadis?, 345-352 [Zbl 07921207]
Pasotti, Anita; Dinitz, Jeffrey H., A survey of Heffter arrays, 353-392 [Zbl 07921208]
Stinson, Douglas R., Orthogonal and strong frame starters: revisited, 393-407 [Zbl 07921209]
Syrotiuk, Violet R.; Colbourn, Charles J.; De Poorter, Eli; Mehari, Michael Tetemke; Moerman, Ingrid, An efficient screening method for identifying parameters and interactions that impact wireless network performance, 409-425 [Zbl 07921210]

MSC:

05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics
94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory
00B25 Proceedings of conferences of miscellaneous specific interest
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