{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T23:00:21Z","timestamp":1743030021678,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031645280"},{"type":"electronic","value":"9783031645297"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-64529-7_11","type":"book-chapter","created":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:21:35Z","timestamp":1721143295000},"page":"97-105","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Computer Classification of\u00a0Linear Codes Based on\u00a0Lattice Point Enumeration"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4597-2041","authenticated-orcid":false,"given":"Sascha","family":"Kurz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,7,17]]},"reference":[{"issue":"3","key":"11_CR1","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1287\/moor.25.3.427.12219","volume":"25","author":"K Aardal","year":"2000","unstructured":"Aardal, K., Hurkens, C.A., Lenstra, A.K.: Solving a system of linear Diophantine equations with lower and upper bounds on the variables. Math. Oper. Res. 25(3), 427\u2013442 (2000)","journal-title":"Math. Oper. Res."},{"issue":"2","key":"11_CR2","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/s10107-008-0236-7","volume":"121","author":"K Aardal","year":"2010","unstructured":"Aardal, K., Wolsey, L.A.: Lattice based extended formulations for integer linear equality systems. Math. Program. 121(2), 337\u2013352 (2010)","journal-title":"Math. Program."},{"key":"11_CR3","unstructured":"Betten, A., Braun, M., Fripertinger, H., Kerber, A., Kohnert, A., Wassermann, A.: Error-correcting linear codes: Classification by isometry and applications. In: Algorithms and Computation in Mathematics, (Vol.\u00a018), Springer (2006)"},{"issue":"2","key":"11_CR4","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1016\/S0195-6698(03)00096-9","volume":"25","author":"A Blokhuis","year":"2004","unstructured":"Blokhuis, A., Brouwer, A.E.: Small additive quaternary codes. Eur. J. Comb. 25(2), 161\u2013167 (2004)","journal-title":"Eur. J. Comb."},{"issue":"12","key":"11_CR5","doi-asserted-by":"publisher","first-page":"7807","DOI":"10.1109\/TIT.2021.3114280","volume":"67","author":"I Bouyukliev","year":"2021","unstructured":"Bouyukliev, I., Bouyuklieva, S., Kurz, S.: Computer classification of linear codes. IEEE Trans. Inf. Theory 67(12), 7807\u20137814 (2021)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"11_CR6","unstructured":"Brouwer, A.E.: Two-weight codes. In: Concise Encyclopedia of Coding Theory, pp. 449\u2013462. Chapman and Hall\/CRC (2021)"},{"issue":"2","key":"11_CR7","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1112\/blms\/18.2.97","volume":"18","author":"R Calderbank","year":"1986","unstructured":"Calderbank, R., Kantor, W.M.: The geometry of two-weight codes. Bull. Lond. Math. Soc. 18(2), 97\u2013122 (1986)","journal-title":"Bull. Lond. Math. Soc."},{"key":"11_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.37236\/1386","volume":"5","author":"S Dodunekov","year":"1998","unstructured":"Dodunekov, S., Simonis, J.: Codes and projective multisets. Electron. J. Comb. 5, 1\u201323 (1998)","journal-title":"Electron. J. Comb."},{"issue":"11","key":"11_CR9","doi-asserted-by":"publisher","first-page":"7122","DOI":"10.1109\/TIT.2023.3288377","volume":"69","author":"C Guan","year":"2023","unstructured":"Guan, C., Li, R., Liu, Y., Ma, Z.: Some quaternary additive codes outperform linear counterparts. IEEE Trans. Inf. Theory 69(11), 7122\u20137131 (2023)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"11_CR10","unstructured":"Hill, R.: On the largest size of cap in $${S}_{5,3}$$. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 54(3), 378\u2013384 (1973)"},{"key":"11_CR11","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/978-3-319-70293-3_7","volume-title":"Network Coding and Subspace Designs","author":"T Honold","year":"2018","unstructured":"Honold, T., Kiermaier, M., Kurz, S.: Partial spreads and vector space partitions. In: Greferath, M., Pav\u010devi\u0107, M.O., Silberstein, N., V\u00e1zquez-Castro, M.\u00c1. (eds.) Network Coding and Subspace Designs, pp. 131\u2013170. Springer International Publishing, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-70293-3_7"},{"issue":"1\u20133","key":"11_CR12","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/S0012-365X(99)00135-1","volume":"223","author":"DB Jaffe","year":"2000","unstructured":"Jaffe, D.B.: Optimal binary linear codes of length $$\\le 30$$. Discret. Math. 223(1\u20133), 135\u2013155 (2000)","journal-title":"Discret. Math."},{"key":"11_CR13","unstructured":"Kaski, P., \u00d6sterg\u00e5rd, P.R.: Classification algorithms for codes and designs. In: Algorithms and Computation in Mathematics, (Vol.\u00a015) Springer (2006)"},{"key":"11_CR14","first-page":"11763","volume":"2112","author":"S Kurz","year":"2021","unstructured":"Kurz, S.: Divisible codes. arXiv preprint 2112, 11763 (2021)","journal-title":"Divisible codes. arXiv preprint"},{"key":"11_CR15","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1023\/A:1019903407222","volume":"27","author":"PR \u00d6sterg\u00e5rd","year":"2002","unstructured":"\u00d6sterg\u00e5rd, P.R.: Classifying subspaces of Hamming spaces. Des. Codes Crypt. 27, 297\u2013305 (2002)","journal-title":"Des. Codes Crypt."},{"key":"11_CR16","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1007\/BF01581144","volume":"66","author":"CP Schnorr","year":"1994","unstructured":"Schnorr, C.P., Euchner, M.: Lattice basis reduction: Improved practical algorithms and solving subset sum problems. Math. Program. 66, 181\u2013199 (1994)","journal-title":"Math. Program."},{"key":"11_CR17","unstructured":"Schrijver, A.: Theory of linear and integer programming. John Wiley & Sons (1998)"},{"issue":"5","key":"11_CR18","doi-asserted-by":"publisher","first-page":"1219","DOI":"10.1002\/j.1538-7305.1960.tb03958.x","volume":"39","author":"D Slepian","year":"1960","unstructured":"Slepian, D.: Some further theory of group codes. Bell Syst. Tech. J. 39(5), 1219\u20131252 (1960)","journal-title":"Bell Syst. Tech. J."},{"issue":"1","key":"11_CR19","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1006\/jcta.1997.2864","volume":"83","author":"HN Ward","year":"1998","unstructured":"Ward, H.N.: Divisibility of codes meeting the Griesmer bound. J. Combinat. Theory, Series A 83(1), 79\u201393 (1998)","journal-title":"J. Combinat. Theory, Series A"},{"key":"11_CR20","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1023\/A:1013355015853","volume":"6","author":"A Wassermann","year":"2002","unstructured":"Wassermann, A.: Attacking the market split problem with lattice point enumeration. J. Comb. Optim. 6, 5\u201316 (2002)","journal-title":"J. Comb. Optim."}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2024"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-64529-7_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:22:33Z","timestamp":1721143353000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-64529-7_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031645280","9783031645297"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-64529-7_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"17 July 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICMS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Congress on Mathematical Software","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Durham","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"United Kingdom","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 July 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 July 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icms2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/maths.dur.ac.uk\/icms2024\/ICMS2024.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}