{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T19:06:02Z","timestamp":1754161562307,"version":"3.41.2"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1998,11,1]],"date-time":"1998-11-01T00:00:00Z","timestamp":909878400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1998,11,1]],"date-time":"1998-11-01T00:00:00Z","timestamp":909878400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Designs, Codes and Cryptography"],"published-print":{"date-parts":[[1998,11]]},"DOI":"10.1023\/a:1008367718018","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T09:41:38Z","timestamp":1040550098000},"page":"187-200","source":"Crossref","is-referenced-by-count":24,"title":["Cocyclic Generalised Hadamard Matrices and Central Relative Difference Sets"],"prefix":"10.1007","volume":"15","author":[{"given":"A. A. I.","family":"Perera","sequence":"first","affiliation":[]},{"given":"K. J.","family":"Horadam","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"181765_CR1","first-page":"123","volume":"11","author":"A. Baliga","year":"1995","unstructured":"A. Baliga and K. J. Horadam, Cocyclic matrices over Z\nt \u00d7 Z\n\/22, Australas. J. Combin., Vol. 11 (1995) pp. 123-134.","journal-title":"Australas. J. Combin."},{"key":"181765_CR2","volume-title":"Design Theory","author":"T. Beth","year":"1993","unstructured":"T. Beth, D. Jungnickel and H. Lenz, Design Theory, CUP, Cambridge (1993)."},{"key":"181765_CR3","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1090\/S0002-9939-1962-0142557-0","volume":"13","author":"A. T. Butson","year":"1962","unstructured":"A. T. Butson, Generalised Hadamard matrices, Proc. Amer. Math. Soc., Vol. 13 (1962) pp. 894-898.","journal-title":"Proc. Amer. Math. Soc."},{"volume-title":"The CRC Handbook of Combinatorial Designs","year":"1996","key":"181765_CR4","unstructured":"C. J. Colbourn and J. H. Dinitz (Eds.), The CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton (1996)."},{"key":"181765_CR5","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1006\/jcta.1997.2796","volume":"80","author":"J. A. Davis","year":"1997","unstructured":"J. A. Davis and J. Jedwab, A unifying construction for difference sets, J. Combin. Theory Ser. A, Vol. 80 (1997) pp. 13-78.","journal-title":"J. Combin. Theory Ser. A"},{"key":"181765_CR6","first-page":"40","volume":"27","author":"W. de Launey","year":"1989","unstructured":"W. de Launey, Square GBRDs over non-abelian groups, Ars Combin., Vol. 27 (1989) pp. 40\u201349.","journal-title":"Ars Combin."},{"key":"181765_CR7","first-page":"67","volume":"1","author":"W. de Launey","year":"1990","unstructured":"W. de Launey, On the construction of n-dimensional designs from 2-dimensional designs, Australas. J. Combin., Vol. 1 (1990) pp. 67-81.","journal-title":"Australas. J. Combin."},{"key":"181765_CR8","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/0012-365X(92)90624-O","volume":"104","author":"W. de Launey","year":"1992","unstructured":"W. de Launey, Generalised Hadamard matrices which are developed modulo a group, Discrete Math., Vol. 104 (1992) pp. 49\u201365.","journal-title":"Discrete Math"},{"key":"181765_CR9","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/BF01389357","volume":"3","author":"W. de Launey","year":"1993","unstructured":"W. de Launey and K. J. Horadam, A weak difference set construction for higher dimensional designs, Designs, Codes and Cryptography, Vol. 3 (1993) pp. 75-87.","journal-title":"Designs, Codes and Cryptography"},{"key":"181765_CR10","doi-asserted-by":"crossref","first-page":"617","DOI":"10.4153\/CJM-1979-062-1","volume":"31","author":"D. A. Drake","year":"1979","unstructured":"D. A. Drake, Partial \u03bb-geometries and generalised Hadamard matrices, Canad. J. Math.Vol. 31 (1979) pp. 617-627.","journal-title":"Canad. J. Math"},{"key":"181765_CR11","first-page":"517","volume":"10","author":"J. E. H. Elliott","year":"1966","unstructured":"J. E. H. Elliott and A.T. Butson, Relative difference sets, Illinois J. Math., Vol.10 (1966) pp. 517-531.","journal-title":"Illinois J. Math"},{"key":"181765_CR12","first-page":"67","volume":"11","author":"D. L. Flannery","year":"1995","unstructured":"D. L. Flannery, Transgression and the calculation of cocyclic matrices, Australas. J. Combin., Vol. 11 (1995) pp. 67-78.","journal-title":"Australas. J. Combin."},{"key":"181765_CR13","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/0022-4049(95)00135-2","volume":"112","author":"D. L. Flannery","year":"1996","unstructured":"D. L. Flannery, Calculation of cocyclic matrices, J. Pure Appl. Algebra, Vol. 112 (1996) pp. 181-190.","journal-title":"J. Pure Appl. Algebra"},{"key":"181765_CR14","first-page":"161","volume":"118","author":"K. J. Horadam","year":"1996","unstructured":"K. J. Horadam, Progress in cocyclic matrices, Congr. Numer., Vol. 118 (1996) pp. 161-171.","journal-title":"Congr. Numer."},{"key":"181765_CR15","unstructured":"K. J. Horadam, D. L. Flannery and W. de Launey, Cocyclic Hadamard matrices and difference sets, preprint."},{"key":"181765_CR16","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1023\/A:1022403732401","volume":"2","author":"K. J. Horadam","year":"1993","unstructured":"K. J. Horadam and W. de Launey, Cocyclic development of designs, J. Algebraic Combinatorics, Vol. 2 (1993) pp. 267-290, Erratum Vol. 3 (1994) pp. 129.","journal-title":"J. Algebraic Combinatorics"},{"key":"181765_CR17","volume-title":"Computational Algebra and Number Theory","author":"K. J. Horadam","year":"1995","unstructured":"K. J. Horadam and W. de Launey, Generation of cocyclic Hadamard matrices, Computational Algebra and Number Theory(W. Bosma, A. van der Poorten, eds.), Kluwer Academic, Dordrecht (1995)."},{"key":"181765_CR18","doi-asserted-by":"crossref","first-page":"257","DOI":"10.4153\/CJM-1982-018-x","volume":"24","author":"D. Jungnickel","year":"1982","unstructured":"D. Jungnickel, On automorphism groups of divisible designs, Canad. J. Math., Vol. 24 (1982) pp. 257-297.","journal-title":"Canad. J. Math"},{"key":"181765_CR19","volume-title":"Projective Representations of Finite Groups","author":"G. Karpilovsky","year":"1985","unstructured":"G. Karpilovsky, Projective Representations of Finite Groups, Marcel Dekker, New York (1985)."},{"key":"181765_CR20","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1006\/jabr.1996.0329","volume":"185","author":"S. L. Ma","year":"1996","unstructured":"S. L. Ma, Planar functions, relative difference sets, and character theory, J. Algebra, Vol. 185 (1996) pp. 342-356.","journal-title":"J. Algebra"},{"key":"181765_CR21","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1006\/jabr.1995.1198","volume":"175","author":"S. L. Ma","year":"1995","unstructured":"S. L. Ma and A. Pott, Relative difference sets, planar functions and generalised Hadamard matrices, J. Algebra, Vol. 175 (1995) pp. 505\u2013525.","journal-title":"J. Algebra"},{"key":"181765_CR22","unstructured":"S. L. Ma and B. Schmidt, Relative (p\na\n, p\nb\n, p\na\n, p\na\u2212b)-difference sets: a unified exponent bound and a local ring construction, submitted."},{"key":"181765_CR23","series-title":"LNM","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0094449","volume-title":"Finite Geometry and Character Theory","author":"A. Pott","year":"1995","unstructured":"A. Pott, Finite Geometry and Character Theory, LNM 1601, Springer, Berlin (1995)."},{"key":"181765_CR24","volume-title":"Groups, Difference Sets and the Monster","author":"A. Pott","year":"1996","unstructured":"A. Pott, A survey on relative difference sets, Groups, Difference Sets and the Monster(K. T. Arasu et al., eds.), de Gruyter, New York (1996)."},{"key":"181765_CR25","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1023\/A:1008674331764","volume":"6","author":"B. Schmidt","year":"1997","unstructured":"B. Schmidt, On (p\na\n, p\nb\n, p\na\n, p\na\u2212b)-relative difference sets, J. Algebraic Combinatorics, Vol. 6 (1997) pp. 279-297.","journal-title":"J. Algebraic Combinatorics"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008367718018.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008367718018\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008367718018.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T03:16:31Z","timestamp":1753758991000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008367718018"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,11]]},"references-count":25,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,11]]}},"alternative-id":["181765"],"URL":"https:\/\/doi.org\/10.1023\/a:1008367718018","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"type":"print","value":"0925-1022"},{"type":"electronic","value":"1573-7586"}],"subject":[],"published":{"date-parts":[[1998,11]]}}}