{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T03:24:12Z","timestamp":1776137052297,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2008,1,10]],"date-time":"2008-01-10T00:00:00Z","timestamp":1199923200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1007\/s10623-007-9132-z","type":"journal-article","created":{"date-parts":[[2008,1,9]],"date-time":"2008-01-09T15:06:33Z","timestamp":1199891193000},"page":"243-259","source":"Crossref","is-referenced-by-count":28,"title":["Maximal caps in AG\u00a0(6,\u00a03)"],"prefix":"10.1007","volume":"46","author":[{"given":"Aaron","family":"Potechin","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,1,10]]},"reference":[{"key":"9132_CR1","first-page":"96","volume":"10","author":"A. Barlotti","year":"1955","unstructured":"Barlotti, A.: Un\u2019 estensione del teorema di Segre-Kustaanheimo. Boll. Un. Mat. Ital. 10, 96\u201398 (1955)","journal-title":"Boll. Un. Mat. Ital."},{"key":"9132_CR2","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1002\/jcd.10000","volume":"10","author":"J. Bierbrauer","year":"2002","unstructured":"Bierbrauer, J., Edel, Y.: Bounds on affine caps. J. Combin. Des. 10, 111\u2013115 (2002)","journal-title":"J. Combin. Des."},{"key":"9132_CR3","first-page":"107","volume":"8","author":"R.C. Bose","year":"1947","unstructured":"Bose, R.C.: Mathematical theory of the symmetrical factorial design. Sankhy\u0101 8, 107\u2013166 (1947)","journal-title":"Sankhy\u0101"},{"key":"9132_CR4","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/BF02984846","volume":"25","author":"B.L. Davis","year":"2003","unstructured":"Davis, B.L., Maclagan, D.: The card game set. Math. Intell. 25, 33\u201340 (2003)","journal-title":"Math. Intell."},{"issue":"2","key":"9132_CR5","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1023\/A:1008389013117","volume":"16","author":"Y. Edel","year":"1999","unstructured":"Edel, Y., Bierbrauer, J.: 41 is the largest size of a cap in PG(4,4). Des. Codes Cryptogr. 16(2), 151\u2013160 (1999)","journal-title":"Des. Codes Cryptogr."},{"key":"9132_CR6","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1006\/jcta.2002.3261","volume":"99","author":"Y. Edel","year":"2002","unstructured":"Edel, Y., Ferret, S., Landjev, I., Storme, L.: The classification of the largest caps in AG(5, 3). J. Combin. Theory Ser. A 99, 95\u2013110 (2002)","journal-title":"J. Combin. Theory Ser. A"},{"key":"9132_CR7","first-page":"378","volume":"54","author":"R. Hill","year":"1973","unstructured":"Hill, R.: On the largest size of cap in S 5,3. Atti Accad. Naz. Lincei Rend. 54, 378\u2013384 (1973)","journal-title":"Atti Accad. Naz. Lincei Rend."},{"key":"9132_CR8","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/0012-365X(78)90120-6","volume":"22","author":"R. Hill","year":"1978","unstructured":"Hill, R.: Caps and codes. Discrete Math. 22, 111\u2013137 (1978)","journal-title":"Discrete Math."},{"key":"9132_CR9","first-page":"443","volume":"18","author":"R. Hill","year":"1983","unstructured":"Hill, R.: On Pellegrino\u2019s 20-caps in S4,3. Combinatorial Geometries and their Applications (Rome 1981). Ann. Discrete Math. 18, 443\u2013448 (1983)","journal-title":"Ann. Discrete Math."},{"key":"9132_CR10","unstructured":"Hirschfeld J.W.P., Storme L.: The packing problem in statistics, coding theory and finite projective spaces: update 2001. In: Blokhuis A., Hirschfeld J.W.P., Jungnickel D., Thas J.A. (eds) Developments in Mathematics, vol. 3, Kluwer Academic Publishers. Finite Geometries, Proceedings of the Fourth Isle of Thorns Conference, Chelwood Gate, July 16\u201321. pp. 201\u2013246 (2000)."},{"key":"9132_CR11","first-page":"507","volume":"10","author":"G. Panella","year":"1955","unstructured":"Panella, G.: Caratterizzazione delle quadriche di uno spazio (tridimensionale) lineare sopra un corpo finito. Boll. Un. Mat. Ital. 10, 507\u2013513 (1955)","journal-title":"Boll. Un. Mat. Ital."},{"key":"9132_CR12","first-page":"149","volume":"25","author":"G. Pellegrino","year":"1971","unstructured":"Pellegrino, G.: Sul massimo ordine delle calotte in S 4,3. Le Mathematiche 25, 149\u2013157 (1971)","journal-title":"Le Mathematiche"},{"key":"9132_CR13","unstructured":"Qvist B.: Some remarks concerning curves of the second degree in a finite plane. Ann. Acad. Sci. Fenn. Ser. A 134, (1952)."},{"key":"9132_CR14","first-page":"1","volume":"17","author":"B. Segre","year":"1954","unstructured":"Segre, B.: Sulle ovali nei piani lineari finiti. Atti Accad. Naz. Lincei Rend. 17, 1\u20132 (1954)","journal-title":"Atti Accad. Naz. Lincei Rend."},{"key":"9132_CR15","doi-asserted-by":"crossref","first-page":"414","DOI":"10.4153\/CJM-1955-045-x","volume":"7","author":"B. Segre","year":"1955","unstructured":"Segre, B.: Ovals in a finite projective plane. Can. J. Math. 7, 414\u2013416 (1955)","journal-title":"Can. J. Math."},{"key":"9132_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02410658","volume":"48","author":"B. Segre","year":"1959","unstructured":"Segre, B.: Le geometrie di Galois. Ann. Mat. Pura Appl. 48, 1\u201397 (1959)","journal-title":"Ann. Mat. Pura Appl."},{"key":"9132_CR17","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF01650065","volume":"13","author":"J. Tits","year":"1962","unstructured":"Tits, J.: Ovoides et groupes de Suzuki. Arch. Math. 13, 187\u2013198 (1962)","journal-title":"Arch. Math."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9132-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-007-9132-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9132-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T15:50:08Z","timestamp":1559231408000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-007-9132-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1,10]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["9132"],"URL":"https:\/\/doi.org\/10.1007\/s10623-007-9132-z","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1,10]]}}}