---

＜電子ブック＞
New Advances in Designs, Codes and Cryptography : Stinson66, Toronto, Canada, June 13-17, 2022 / edited by Charles J. Colbourn, Jeffrey H. Dinitz
(Fields Institute Communications. ISSN:21941564 ; 86)

版	1st ed. 2024.
出版者	(Cham : Springer Nature Switzerland : Imprint: Springer)
出版年	2024
本文言語	英語
大きさ	XXVII, 425 p. 33 illus., 12 illus. in color : online resource
著者標目	Colbourn, Charles J editor Dinitz, Jeffrey H editor SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Quantum communication LCSH:Statistics  LCSH:Computer science LCSH:Approximation theory FREE:Number Theory FREE:Quantum Communications and Cryptography FREE:Statistics FREE:Computer Science FREE:Approximations and Expansions
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-031-48679-1

 類似資料