{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,27]],"date-time":"2024-03-27T21:22:05Z","timestamp":1711574525462},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T00:00:00Z","timestamp":1524441600000},"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":[[2019,1]]},"DOI":"10.1007\/s10623-018-0487-0","type":"journal-article","created":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T07:10:37Z","timestamp":1524467437000},"page":"57-65","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Sets of mutually orthogonal Sudoku frequency squares"],"prefix":"10.1007","volume":"87","author":[{"given":"John T.","family":"Ethier","sequence":"first","affiliation":[]},{"given":"Gary L.","family":"Mullen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,23]]},"reference":[{"key":"487_CR1","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1080\/00029890.2008.11920542","volume":"115","author":"RA Bailey","year":"2008","unstructured":"Bailey R.A., Cameron P.J., Connelly R.: Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and Hamming codes. Am. Math. Mon. 115, 383\u2013404 (2008).","journal-title":"Am. Math. Mon."},{"key":"487_CR2","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.laa.2016.02.017","volume":"497","author":"R Bremigan","year":"2016","unstructured":"Bremigan R., Lorch J.: Mutually orthogonal rectangular gerechte designs. Linear Algebra Appl. 497, 44\u201361 (2016).","journal-title":"Linear Algebra Appl."},{"key":"487_CR3","unstructured":"Colbourn C.J., Dinitz J.H. (eds.): Handbook of Combinatorial Designs, 2nd edn. CRC Press, Boca Raton (2007)."},{"key":"487_CR4","volume-title":"Latin Squares and Their Applications","author":"J D\u00e9nes","year":"1974","unstructured":"D\u00e9nes J., Keedwell A.D.: Latin Squares and Their Applications. Academic Press, New York (1974)."},{"key":"487_CR5","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/s10623-016-0234-3","volume":"84","author":"J D\u2019haeseleer","year":"2017","unstructured":"D\u2019haeseleer J., Metsch K., Storme L., Van de Voorde G.: On the maximality of a set of mutually orthogonal Sudoku latin squares. Des. Codes Cryptogr. 84, 143\u2013152 (2017).","journal-title":"Des. Codes Cryptogr."},{"key":"487_CR6","volume-title":"Discrete Mathematics Using Latin Squares","author":"CF Laywine","year":"1998","unstructured":"Laywine C.F., Mullen G.L.: Discrete Mathematics Using Latin Squares. Wiley, New York (1998)."},{"key":"487_CR7","volume-title":"Finite Fields, Encyclopedia of Mathematics and Its Applications","author":"R Lidl","year":"1997","unstructured":"Lidl R., Niederreiter H.: Finite Fields, Encyclopedia of Mathematics and Its Applications, 2nd edn. Cambridge University Press, Cambridge (1997).","edition":"2"},{"key":"487_CR8","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/0012-365X(88)90179-3","volume":"69","author":"GL Mullen","year":"1988","unstructured":"Mullen G.L.: Polynomial representation of complete sets of frequency squares of prime power order. Discret. Math. 69, 79\u201384 (1988).","journal-title":"Discret. Math."},{"issue":"3","key":"487_CR9","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1080\/07468342.2009.11922356","volume":"40","author":"R Pederson","year":"2009","unstructured":"Pederson R., Vis T.: Sets of mutually orthogonal Sudoku Latin Squares. Coll. Math. J. 40(3), 174\u2013180 (2009).","journal-title":"Coll. Math. J."},{"key":"487_CR10","volume-title":"Combinatorics of Experimental Design","author":"AP Street","year":"1987","unstructured":"Street A.P., Street D.J.: Combinatorics of Experimental Design. Oxford University Press, New York (1987)."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-018-0487-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0487-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0487-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T23:47:09Z","timestamp":1555976829000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-018-0487-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,23]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["487"],"URL":"https:\/\/doi.org\/10.1007\/s10623-018-0487-0","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,23]]},"assertion":[{"value":"2 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 April 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 April 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}