{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T18:59:45Z","timestamp":1772305185424,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,7,7]],"date-time":"2021-07-07T00:00:00Z","timestamp":1625616000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,7,7]],"date-time":"2021-07-07T00:00:00Z","timestamp":1625616000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cryptogr. Commun."],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1007\/s12095-021-00492-0","type":"journal-article","created":{"date-parts":[[2021,7,7]],"date-time":"2021-07-07T07:10:34Z","timestamp":1625641834000},"page":"775-789","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["New nonexistence results on circulant weighing matrices"],"prefix":"10.1007","volume":"13","author":[{"given":"K. T.","family":"Arasu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4373-3637","authenticated-orcid":false,"given":"Daniel M.","family":"Gordon","sequence":"additional","affiliation":[]},{"given":"Yiran","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,7]]},"reference":[{"key":"492_CR1","first-page":"205","volume":"55","author":"KT Arasu","year":"2013","unstructured":"Arasu, K.T., Hollon, J.R.: Group developed weighing matrices. Australas. J. Combin. 55, 205\u2013233 (2013)","journal-title":"Australas. J. Combin."},{"key":"492_CR2","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1002\/(SICI)1520-6610(1996)4:6<439::AID-JCD4>3.0.CO;2-G","volume":"4","author":"KT Arasu","year":"1996","unstructured":"Arasu, K.T., Seberry, J.: Circulant weighing designs. J. Combin. Des. 4, 439\u2013447 (1996)","journal-title":"J. Combin. Des."},{"key":"492_CR3","first-page":"21","volume":"17","author":"KT Arasu","year":"1998","unstructured":"Arasu, K.T., Seberry, J.: On circulant weighing matrices. Australas. J. Combin. 17, 21\u201337 (1998)","journal-title":"Australas. J. Combin."},{"key":"492_CR4","unstructured":"Strassler, Y.: The classification of circulant weighing matrices of weight 9. Ph.D. Thesis, Bar-Ilan University (1997)"},{"key":"492_CR5","doi-asserted-by":"publisher","first-page":"2677","DOI":"10.1007\/s10623-018-0466-5","volume":"86","author":"MM Tan","year":"2018","unstructured":"Tan, M.M.: Group invariant weighing matrices. Des. Codes Crypt. 86, 2677\u20132702 (2018)","journal-title":"Des. Codes Crypt."},{"key":"492_CR6","first-page":"123","volume":"17","author":"D Jungnickel","year":"1992","unstructured":"Jungnickel, D.: On Lander\u2019s multiplier theorem for difference lists. J. Comb. Info. and Syst. Sci. 17, 123\u2013129 (1992)","journal-title":"J. Comb. Info. and Syst. Sci."},{"key":"492_CR7","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1007\/s10623-013-9862-z","volume":"74","author":"DZ Dokovi\u0107","year":"2015","unstructured":"Dokovi\u0107, D.Z., Kotsireas, I.S.: Compression of periodic complementary sequences and applications. Des. Codes Crypt. 74, 365\u2013377 (2015)","journal-title":"Des. Codes Crypt."},{"key":"492_CR8","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1002\/jcd.3180030403","volume":"3","author":"KT Arasu","year":"1995","unstructured":"Arasu, K.T., Xiang, Q.: Multiplier theorems. J. Combin. Des. 3, 257\u2013268 (1995)","journal-title":"J. Combin. Des."},{"key":"492_CR9","unstructured":"McFarland, R.L.: On multipliers of abelian difference sets. Ph.D. Thesis, The Ohio State University (1970)"},{"key":"492_CR10","doi-asserted-by":"crossref","unstructured":"Arasu, K.T., Dillon, J.F.: Perfect ternary arrays. In: Difference Sets, Sequences and their Correlation Properties, pp. 1\u201315. Kluwer (1999)","DOI":"10.1007\/978-94-011-4459-9_1"},{"key":"492_CR11","doi-asserted-by":"publisher","first-page":"769","DOI":"10.1016\/j.disc.2011.01.005","volume":"311","author":"KT Arasu","year":"2011","unstructured":"Arasu, K.T., Nabavi, A.: Nonexistence of CW(154,36) and CW(170,64). Disc. Math. 311, 769\u2013779 (2011)","journal-title":"Disc. Math."},{"key":"492_CR12","doi-asserted-by":"crossref","unstructured":"Iiams, J.: Lander\u2019s tables are complete! In: Difference Sets, Sequences and their Correlation Properties, pp. 239\u2013257. Kluwer (1999)","DOI":"10.1007\/978-94-011-4459-9_10"},{"key":"492_CR13","unstructured":"Gordon, D.M.: La Jolla Combinatorics Repository. https:\/\/www.dmgordon.org\/(2021)"},{"key":"492_CR14","first-page":"908","volume":"118","author":"KH Leung","year":"2011","unstructured":"Leung, K.H., Schmidt, B.: Finiteness of circulant weighing matrices of fixed weight. JCT A 118, 908\u2013919 (2011)","journal-title":"JCT A"},{"key":"492_CR15","first-page":"265","volume":"2","author":"P Eades","year":"1976","unstructured":"Eades, P., Hain, R.M.: On circulant weighing matrices. Ars Combin. 2, 265\u2013284 (1976)","journal-title":"Ars Combin."},{"key":"492_CR16","doi-asserted-by":"publisher","first-page":"2802","DOI":"10.1016\/j.disc.2004.12.029","volume":"308","author":"MH Ang","year":"2008","unstructured":"Ang, M.H., Arasu, K.T., Ma, S.L., Strassler, Y.: Study of proper circulant weighing matrices with weight 9. Disc. Math. 308, 2802\u20132809 (2008)","journal-title":"Disc. Math."},{"key":"492_CR17","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1007\/s10623-012-9786-z","volume":"72","author":"KH Leung","year":"2014","unstructured":"Leung, K.H., Ma, S.L.: Proper circulant weighing matrices of weight p2. Des. Codes Crypt. 72, 539\u2013550 (2014)","journal-title":"Des. Codes Crypt."},{"key":"492_CR18","unstructured":"Leung, K.H., Ma, S.L.: Proper circulant weighing matrices of weight 25. preprint (2011)"},{"key":"492_CR19","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s10623-006-0026-2","volume":"41","author":"KT Arasu","year":"2006","unstructured":"Arasu, K.T., Leung, K.H., Ma, S.L., Nabavi, A., Ray-Chaudhuri, D.K.: Circulant weighing matrices of weight 22t. Des. Codes Crypt. 41, 111\u2013123 (2006)","journal-title":"Des. Codes Crypt."},{"key":"492_CR20","first-page":"275","volume":"120","author":"B Schmidt","year":"2013","unstructured":"Schmidt, B., Smith, K.W.: Circulant weighing matrices whose order and weight are products of powers of 2 and 3. JCT A 120, 275\u2013287 (2013)","journal-title":"JCT A"},{"key":"492_CR21","doi-asserted-by":"crossref","unstructured":"Pott, A.: Finite geometry and character theory, Lecture Notes in Mathematics, vol. 1601. Springer (1995)","DOI":"10.1007\/BFb0094449"},{"key":"492_CR22","first-page":"118","volume":"94","author":"KT Arasu","year":"2002","unstructured":"Arasu, K.T., Dillon, J.F., Leung, K.H., Ma, S.L.: Cyclic relative difference sets with classical parameters. JCT A 94, 118\u2013126 (2002)","journal-title":"JCT A"}],"container-title":["Cryptography and Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-021-00492-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12095-021-00492-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-021-00492-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T05:41:26Z","timestamp":1633844486000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12095-021-00492-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,7]]},"references-count":22,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["492"],"URL":"https:\/\/doi.org\/10.1007\/s12095-021-00492-0","relation":{},"ISSN":["1936-2447","1936-2455"],"issn-type":[{"value":"1936-2447","type":"print"},{"value":"1936-2455","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,7]]},"assertion":[{"value":"29 October 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 May 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 July 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}