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245 1 0 _aNew Advances in Designs, Codes and Cryptography
_h[electronic resource] :
_bStinson66, Toronto, Canada, June 13-17, 2022 /
_cedited by Charles J. Colbourn, Jeffrey H. Dinitz.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXXVII, 425 p. 33 illus., 12 illus. in color.
_bonline resource.
336 _atext
_btxt
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337 _acomputer
_bc
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338 _aonline resource
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347 _atext file
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490 1 _aFields Institute Communications,
_x2194-1564 ;
_v86
505 0 _aPreface -- 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.
520 _aThis 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.
650 0 _aNumber theory.
650 0 _aQuantum communication.
_974824
650 0 _aStatistics .
_965982
650 0 _aComputer science.
_958552
650 0 _aApproximation theory.
_974825
650 1 4 _aNumber Theory.
650 2 4 _aQuantum Communications and Cryptography.
_974826
650 2 4 _aStatistics.
_965982
650 2 4 _aComputer Science.
_958552
650 2 4 _aApproximations and Expansions.
_974827
700 1 _aColbourn, Charles J.
_eeditor.
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_974828
700 1 _aDinitz, Jeffrey H.
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_974829
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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830 0 _aFields Institute Communications,
_x2194-1564 ;
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_974830
856 4 0 _uhttps://doi.org/10.1007/978-3-031-48679-1
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