{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:22:27Z","timestamp":1740122547020,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T00:00:00Z","timestamp":1648857600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T00:00:00Z","timestamp":1648857600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008982","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100008982","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s10623-022-01036-0","type":"journal-article","created":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T15:04:58Z","timestamp":1648911898000},"page":"1203-1219","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Pappus configurations in Hall planes"],"prefix":"10.1007","volume":"90","author":[{"given":"Felix","family":"Lazebnik","sequence":"first","affiliation":[]},{"given":"Lorinda","family":"Leshock","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,4,2]]},"reference":[{"issue":"5","key":"1036_CR1","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/BF01110297","volume":"105","author":"RP Burn","year":"1968","unstructured":"Burn R.P.: Bol quasi-fields and Pappus\u2019 theorem. Math. Z. 105(5), 351\u2013364 (1968).","journal-title":"Math. Z."},{"key":"1036_CR2","doi-asserted-by":"crossref","unstructured":"Caliskan C., Moorhouse G.E.: Subplanes of order $$3$$ in hughes planes. Electron. J. Comb. 18(1)P2 (2011).","DOI":"10.37236\/489"},{"key":"1036_CR3","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1016\/j.ffa.2012.11.003","volume":"20","author":"C Caliskan","year":"2013","unstructured":"Caliskan C., Petrak B.: Subplanes of order 3 in Figueroa planes. Finite Fields Appl. 20, 24\u201329 (2013).","journal-title":"Finite Fields Appl."},{"key":"1036_CR4","unstructured":"Erd\u0151s P.: Some old and new problems in various branches of combinatorics. In: Proceedings of the Tenth Southeastern Conference on Combinatorics, Graph Theory and Computing Florida Atlantic University, Boca Raton, pp. 19\u201337 (1979)."},{"issue":"2","key":"1036_CR5","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1090\/S0002-9947-1943-0008892-4","volume":"54","author":"M Hall Jr","year":"1943","unstructured":"Hall M. Jr.: Projective planes. Trans. Am. Math. Soc. 54(2), 229\u2013277 (1943).","journal-title":"Trans. Am. Math. Soc."},{"key":"1036_CR6","volume-title":"Combinatorial Theory","author":"M Hall Jr","year":"1986","unstructured":"Hall M. Jr.: Combinatorial Theory, 2nd edn Wiley, New York (1986).","edition":"2"},{"key":"1036_CR7","volume-title":"The Theory of Groups","author":"M Hall Jr","year":"2018","unstructured":"Hall M. Jr.: The Theory of Groups. Courier Dover Publications, New York (2018)."},{"issue":"5","key":"1036_CR8","doi-asserted-by":"publisher","first-page":"978","DOI":"10.1090\/S0002-9939-1957-0090818-4","volume":"8","author":"D Hughes","year":"1957","unstructured":"Hughes D.: A note on some partially transitive projective planes. Proc. Am. Math. Soc. 8(5), 978\u2013981 (1957).","journal-title":"Proc. Am. Math. Soc."},{"key":"1036_CR9","doi-asserted-by":"crossref","unstructured":"Hughes D.: Collineation groups of non-desarguesian planes, I: the Hall Veblen-Wedderburn systems. Am. J. Math. 81(4), 921\u2013938 (1959).","DOI":"10.2307\/2372996"},{"key":"1036_CR10","doi-asserted-by":"crossref","unstructured":"Kallaher M.: Translation planes. In: Handbook of Incidence Geometry. North-Holland, Haarlem, pp 137\u2013192 (1995).","DOI":"10.1016\/B978-044488355-1\/50007-4"},{"key":"1036_CR11","doi-asserted-by":"crossref","unstructured":"Lazebnik F., Mellinger K.E., Vega O.: Embedding cycles in finite planes. Electron. J. Comb. 20(3)P24, 1\u201317 (2013).","DOI":"10.37236\/3377"},{"key":"1036_CR12","unstructured":"Leshock L: Pappus configurations in finite Hall affine planes. Ph.D. Thesis, University of Delaware, pp. 1\u201384 (2020). https:\/\/sites.google.com\/view\/lleshock\/research."},{"key":"1036_CR13","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0083245","volume-title":"Linear Spaces with Few Lines","author":"K Metsch","year":"1991","unstructured":"Metsch K.: Linear Spaces with Few Lines. Lecture Notes in Mathematics. Springer, New York (1991)."},{"key":"1036_CR14","unstructured":"Moorhouse G.E.: http:\/\/www.ericmoorhouse.org\/pub\/index.html#planes. Accessed Feb 16 (2020)."},{"issue":"1\u20132","key":"1036_CR15","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/s00022-008-2066-4","volume":"91","author":"GE Moorhouse","year":"2009","unstructured":"Moorhouse G.E., Williford J.: Embedding finite partial linear spaces in finite translation nets. J. Geom. 91(1\u20132), 73\u201383 (2009).","journal-title":"J. Geom."},{"key":"1036_CR16","doi-asserted-by":"publisher","first-page":"389","DOI":"10.4153\/CJM-1957-046-8","volume":"9","author":"T Ostrom","year":"1957","unstructured":"Ostrom T.: Transitivities in projective planes. Can. J. Math. 9, 389\u2013399 (1957).","journal-title":"Can. J. Math."},{"issue":"1","key":"1036_CR17","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1007\/BF01236975","volume":"111","author":"T Ostrom","year":"1960","unstructured":"Ostrom T.: Translation planes and configurations in Desarguesian planes. Archiv. Math. 111(1), 457\u2013464 (1960).","journal-title":"Archiv. Math."},{"issue":"1\u20132","key":"1036_CR18","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s00022-011-0064-4","volume":"99","author":"B Petrak","year":"2010","unstructured":"Petrak B.: Fano subplanes in finite Figueroa planes. J. Geom. 99(1\u20132), 101\u2013106 (2010).","journal-title":"J. Geom."},{"key":"1036_CR19","volume-title":"Finite Figueroa Planes","author":"B Petrak","year":"2012","unstructured":"Petrak B.: Finite Figueroa Planes. University of Delaware, Newark (2012)."},{"issue":"1","key":"1036_CR20","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1007\/BF01240761","volume":"10","author":"G Pickert","year":"1959","unstructured":"Pickert G.: Der Satz von Pappos mit Festelementen. Archiv. Math. 10(1), 56\u201361 (1959).","journal-title":"Archiv. Math."},{"issue":"10","key":"1036_CR21","doi-asserted-by":"publisher","first-page":"2843","DOI":"10.1016\/j.disc.2018.11.004","volume":"342","author":"M Tait","year":"2019","unstructured":"Tait M.: On a problem of Neumann. Discret. Math. 342(10), 2843\u20132845 (2019).","journal-title":"Discret. Math."},{"key":"1036_CR22","volume-title":"Matroid Theory","author":"DJA Welsh","year":"2010","unstructured":"Welsh D.J.A.: Matroid Theory. Dover Publications, New York (2010)."},{"key":"1036_CR23","unstructured":"Wolfram Research, Inc. Mathematica, 12.0. Champaign (2019)."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-022-01036-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10623-022-01036-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-022-01036-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,25]],"date-time":"2022-04-25T19:10:57Z","timestamp":1650913857000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10623-022-01036-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,2]]},"references-count":23,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["1036"],"URL":"https:\/\/doi.org\/10.1007\/s10623-022-01036-0","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"type":"print","value":"0925-1022"},{"type":"electronic","value":"1573-7586"}],"subject":[],"published":{"date-parts":[[2022,4,2]]},"assertion":[{"value":"12 July 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 December 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 March 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 April 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}