{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T05:03:18Z","timestamp":1766466198198,"version":"3.41.0"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,4,2]],"date-time":"2015-04-02T00:00:00Z","timestamp":1427932800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1007\/s10623-015-0072-8","type":"journal-article","created":{"date-parts":[[2015,4,1]],"date-time":"2015-04-01T18:01:29Z","timestamp":1427911289000},"page":"149-163","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A general check digit system based on finite groups"],"prefix":"10.1007","volume":"80","author":[{"given":"Yanling","family":"Chen","sequence":"first","affiliation":[]},{"given":"Markku","family":"Niemenmaa","sequence":"additional","affiliation":[]},{"given":"A. J. Han","family":"Vinck","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,4,2]]},"reference":[{"key":"72_CR1","doi-asserted-by":"crossref","unstructured":"Beckley D.F.: An optimum system with modulo 11. Comput. Bull. 11, 213\u2013215 (1967).","DOI":"10.1038\/215213a0"},{"key":"72_CR2","unstructured":"Verhoeff J.: Error Detecting Decimal Codes. Mathematical Centre Tracts, vol. 29. Mathematica Centrum, Amsterdam (1969)."},{"key":"72_CR3","unstructured":"Schul R.H.: On check digit systems using anti-symmetric mappings. Numbers, Information and Complexity. Kluwer Academic Publishers, Boston (2000)."},{"key":"72_CR4","doi-asserted-by":"crossref","unstructured":"Belyavskaya G.B., Izbash V.I., Mullen G.L.: Check character systems using quasigroups: I. Des. Codes Cryptogr. 37, 215\u2013227 (2005).","DOI":"10.1007\/s10623-004-3987-z"},{"key":"72_CR5","doi-asserted-by":"crossref","unstructured":"Belyavskaya G.B., Izbash V.I., Mullen G.L.: Check character systems using quasigroups: II. Des. Codes Cryptogr. 37, 405\u2013419 (2005).","DOI":"10.1007\/s10623-004-4033-x"},{"key":"72_CR6","unstructured":"Damm H.M.: Total anti-symmetrische Quasigruppen (Dr. rer. nat.). Philipps-Universit\u00e4t Marburg (2004)."},{"key":"72_CR7","doi-asserted-by":"crossref","unstructured":"Gumm H.P.: A new class of check-digit methods for arbitrary number systems. IEEE Trans. Inf. Theory 31, 102\u2013105 (1985).","DOI":"10.1109\/TIT.1985.1056991"},{"key":"72_CR8","doi-asserted-by":"crossref","unstructured":"Broecker C., Schulz R.-H., Stroth G.: Check character systems using Chevalley groups. Des. Codes Cryptogr. 10(2), 137\u2013143 (1997).","DOI":"10.1023\/A:1008236218824"},{"key":"72_CR9","doi-asserted-by":"crossref","unstructured":"Niemenmaa M.: A check digit system for hexadecimal numbers. Appl. Algebra Eng. Commun. Comput. 22, 109\u2013112 (2011).","DOI":"10.1007\/s00200-011-0139-3"},{"key":"72_CR10","unstructured":"MISB ST 1204.1: Motion Imagery Identification System (MIIS) - Core Identifier (2013)."},{"key":"72_CR11","doi-asserted-by":"crossref","unstructured":"Chen Y., Niemenmaa M., Han Vinck A.J., Gligoroski D.: On some properties of a check digit system. IEEE International Symposium on Information Theory (ISIT 2012), Cambridge, MA, 1\u20136 July (2012).","DOI":"10.1109\/ISIT.2012.6283536"},{"key":"72_CR12","doi-asserted-by":"crossref","unstructured":"Chen Y., Niemenmaa M., Han Vinck A.J.: A check digit system over a group of arbitrary order. In: 8th International ICST Conference on Communications and Networking in China, pp. 897\u2013902 (2013).","DOI":"10.1109\/ChinaCom.2013.6694722"},{"key":"72_CR13","unstructured":"Mullen G.L., Shcherbacov V.A.: Properties of codes with one check symbol from a quasigroup point of view. Izv. AN RM Math. 3, 71\u201386 (2002)."},{"key":"72_CR14","unstructured":"Mullen G.L., Shcherbacov V.: $$n$$ n -T-quasigroup codes with one check symbol and their error detection capabilities. Comment. Math. Univ. Carolinae 45(2), 321\u2013340 (2004)."},{"key":"72_CR15","unstructured":"ISO\/IEC 7064: 2003(E): Information technology\u2014security techniques\u2014check character systems."},{"key":"72_CR16","unstructured":"3GPP2 report S. R0048: 3G Mobile Equipment Identifier (MEID)\u2014Stage 1 (2005)."},{"key":"72_CR17","unstructured":"3GPP2 X. S0008\u20130 v3.0: MAP Support for the Mobile Equipment Identity (MEID) (2009)."},{"key":"72_CR18","unstructured":"ISO\/IEC 7812\u20131:2006(E): Identification cards\u2014identification of issuers\u2014part 1: numbering system."},{"key":"72_CR19","unstructured":"ISO 15706 2002(E): Information and documentation\u2014International Standard Audiovisual Number (ISAN)."},{"key":"72_CR20","unstructured":"NAIS Program Standards and Technical Reference, Version 2.2, APHIS, USDA (2008)."},{"key":"72_CR21","unstructured":"http:\/\/www.ochp.eu\/id-validator\/ ."},{"key":"72_CR22","unstructured":"http:\/\/www.ochp.eu\/downloads\/ ."},{"key":"72_CR23","unstructured":"ISO 15118\u20131:2013: Road vehicles\u2014vehicle to grid communication interface\u2014part 1: general information and use-case definition."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-015-0072-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-015-0072-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-015-0072-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,21]],"date-time":"2025-05-21T20:21:38Z","timestamp":1747858898000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-015-0072-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,2]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,7]]}},"alternative-id":["72"],"URL":"https:\/\/doi.org\/10.1007\/s10623-015-0072-8","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"type":"print","value":"0925-1022"},{"type":"electronic","value":"1573-7586"}],"subject":[],"published":{"date-parts":[[2015,4,2]]}}}