New Advances in Designs, Codes and Cryptography Stinson66, Toronto, Canada, June 13-17, 2022

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 conne...

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Bibliographic Details
Other Authors: Colbourn, Charles J. (Editor), Dinitz, Jeffrey H. (Editor)
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2024, 2024
Edition:1st ed. 2024
Series:Fields Institute Communications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a New Advances in Designs, Codes and Cryptography  |h Elektronische Ressource  |b Stinson66, Toronto, Canada, June 13-17, 2022  |c edited by Charles J. Colbourn, Jeffrey H. Dinitz 
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300 |a XXVII, 425 p. 33 illus., 12 illus. in color  |b online resource 
505 0 |a Preface -- Introduction -- Mutually orthogonal binary frequency squares of mixed type -- Heffter arrays from finite fields -- A survey on constructive resolution methods for the Oberwolfach problem and its varients -- Asymptomatic existence of egalitarian Steiner 2-designs -- Private computations on set intersection -- Colourings of path systems -- A New Lower Bound on the Share Size of Leakage Resilient Secret Sharing Schemes -- Small transitive homogenous 3-(v,{4,6}, 1) designs -- Cryptography, Codes, and Keys: An Authenticated Key Exchange Protocol from Code-Based Cryptography -- Aspects of Methods for Constructing Random Steiner Triple Systems -- Decomposing Complete Graphs into Isomorphic Complete Multipartite Graphs -- Cover-Free Families: constructions, applications and generalizations -- Group rings and character sums: tricks of the trade -- An alternative existence proof for LSTS(24k+1) -- On a class of optimal constant weight codes -- Quaternary Legendre pairs -- Self orthogonal Latin squares and Room squares -- On the spectrum of large sets plus of partitioned incomplete Latin squares with type gn(2g)1 -- On the Optimization of Pippenger's Bucket Method for Precomputation -- Block Size Five - Quo Vadis? -- A survey of Heffter arrays -- Orthogonal and strong frame starters, revisited -- An efficient Screening Method -- Bibliography -- Index 
653 |a Quantum communication 
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653 |a Computer science 
653 |a Number Theory 
653 |a Statistics  
653 |a Computer Science 
653 |a Approximations and Expansions 
653 |a Quantum Communications and Cryptography 
653 |a Statistics 
653 |a Approximation theory 
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520 |a 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