{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T20:25:57Z","timestamp":1773260757335,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":33,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540631637","type":"print"},{"value":"9783540691938","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1997]]},"DOI":"10.1007\/3-540-63163-1_12","type":"book-chapter","created":{"date-parts":[[2012,2,26]],"date-time":"2012-02-26T18:09:55Z","timestamp":1330279795000},"page":"151-163","source":"Crossref","is-referenced-by-count":9,"title":["Codes from cocycles"],"prefix":"10.1007","author":[{"given":"K. J.","family":"Horadam","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. A. I.","family":"Perera","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,6,8]]},"reference":[{"key":"12_CR1","unstructured":"Baliga, A., Doubly-even self-dual codes from cocyclic Hadamard matrices, Research Report No. 9, Mathematics Department RMIT, July 1996."},{"key":"12_CR2","unstructured":"Baliga, A., personal communication, November 1996."},{"key":"12_CR3","first-page":"123","volume":"11","author":"A. Baliga","year":"1995","unstructured":"Baliga, A., Horadam, K. J., Cocyclic Hadamard matrices over \u2124t x \u2124 2 2 , Australas. J. Combin., 11 (1995) 123\u2013134.","journal-title":"Australas. J. Combin."},{"key":"12_CR4","volume-title":"Design Theory","author":"T. Beth","year":"1993","unstructured":"Beth, Th., Jungnickel, D., Lenz, H., Design Theory, CUP, Cambridge, 1993."},{"key":"12_CR5","doi-asserted-by":"crossref","unstructured":"Beth, Th., Kalouti, H., Lazic, D. E., Which families of long binary linear codes have a binomial weight distribution?, in Proc. AAECC-11, Lecture Notes in Computer Science 948, eds. G. Cohen, M. Giusti, T. Mora, Springer (1995), 120\u2013130.","DOI":"10.1007\/3-540-60114-7_9"},{"key":"12_CR6","volume-title":"The Mathematical Theory of Coding","author":"I. F. Blake","year":"1975","unstructured":"Blake, I. F., and Mullin, C., The Mathematical Theory of Coding, Academic Press, New York, 1975."},{"key":"12_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9327-6","volume-title":"Cohomology of Groups","author":"K. S. Brown","year":"1982","unstructured":"Brown, K. S., Cohomology of Groups, Springer, New York, 1982."},{"key":"12_CR8","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1109\/18.59931","volume":"IT-36","author":"J. H. Conway","year":"1990","unstructured":"Conway, J. H., Sloane, N. J. A., A new upper bound on the minimal distance of self-dual codes, IEEE Trans. Inform. Theory IT-36 (1990), 1319\u20131333.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"12_CR9","first-page":"67","volume":"1","author":"W. Launey de","year":"1990","unstructured":"de Launey, W., On the construction of n-dimensional designs from 2-dimensional designs, Australas. J. Combin. 1 (1990), 67\u201381.","journal-title":"Australas. J. Combin."},{"key":"12_CR10","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0012-365X(92)90624-O","volume":"104","author":"W. Launey de","year":"1992","unstructured":"de Launey, W., Generalised Hadamard matrices which are developed modulo a group, Discrete Mathematics 104 (1992), 49\u201365.","journal-title":"Discrete Mathematics"},{"key":"12_CR11","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/BF01389357","volume":"3","author":"W. Launey de","year":"1993","unstructured":"de Launey, W., Horadam, K. J., A weak difference set construction for higher-dimensional designs, Designs, Codes and Cryptography, 3 (1993), 75\u201387.","journal-title":"Designs, Codes and Cryptography"},{"key":"12_CR12","first-page":"67","volume":"11","author":"D. L. Flannery","year":"1995","unstructured":"Flannery, D. L., Transgression and the calculation of cocyclic matrices, Australas. J. Combin., 11 (1995) 67\u201378.","journal-title":"Australas. J. Combin."},{"key":"12_CR13","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/0022-4049(95)00135-2","volume":"112","author":"D. L. Flannery","year":"1996","unstructured":"Flannery, D. L., Calculation of cocyclic matrices, J. Pure Appl. Algebra, 112 (1996) 181\u2013190.","journal-title":"J. Pure Appl. Algebra"},{"key":"12_CR14","doi-asserted-by":"crossref","unstructured":"Flannery, D. L., Cocyclic Hadamard matrices and Hadamard groups are equivalent, J. Algebra, to appear.","DOI":"10.1006\/jabr.1996.6949"},{"key":"12_CR15","unstructured":"Gulliver, T. A., New quaternary linear codes of dimension 5, Proc. 1995 IEEE International Symposium on Infirmation Theory, 493."},{"key":"12_CR16","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1109\/18.312154","volume":"IT-40","author":"A. Hammons","year":"1994","unstructured":"Hammons, A., Kumar, V., Calderbank, A., Sloane, N., Sol\u00e9, P.. The Z4-linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans. Inform. Theory IT-40 (1994), 301\u2013319.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"12_CR17","doi-asserted-by":"crossref","unstructured":"Harada, M., Tonchev, V. D., Singly-even self-dual codes and Hadamard matrices, in Proc. AAECC-11, Lecture Notes in Computer Science 948, eds. G. Cohen, M. Giusti, T. Mora, Springer (1995), 279\u2013284.","DOI":"10.1007\/3-540-60114-7_20"},{"key":"12_CR18","first-page":"251","volume":"10","author":"W. H. Holzmann","year":"1994","unstructured":"Holzmann, W. H., Kharaghaui, H., A computer search for complex Golay sequences, Australas. J. Combin., 10 (1994), 251\u2013258.","journal-title":"Australas. J. Combin."},{"key":"12_CR19","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1023\/A:1022403732401","volume":"2","author":"K. J. Horadam","year":"1993","unstructured":"Horadam, K. J., de Launey, W., Cocyclic development of designs, J. Algebraic Combinatorics 2 (1993) 267\u2013290.","journal-title":"J. Algebraic Combinatorics"},{"key":"12_CR20","series-title":"Mathematics and its Applications 325","volume-title":"Computational Algebra and Number Theory","author":"K. J. Horadam","year":"1995","unstructured":"Horadam, K. J., de Launey, W., Generation of cocyclic Hadamard matrices, Chap. 20 in Computational Algebra and Number Theory, eds. W. Bosma, A. van der Poorten, Mathematics and its Applications 325, Kluwer Academic, Dordrecht, 1995."},{"key":"12_CR21","doi-asserted-by":"crossref","unstructured":"Horadam, K. J., Flannery, D., and de Launey, W., Cocyclic Hadamard matrices and difference sets, preprint, 1996.","DOI":"10.1007\/978-94-017-1108-1_20"},{"key":"12_CR22","unstructured":"Horadam, K. J., Lin, C., Construction of proper higher dimensional Hadamard matrices from perfect binary arrays, Research Report No. 14, Mathematics Department RMIT, November 1995."},{"key":"12_CR23","volume-title":"Projective Representations of Finite Groups","author":"G. Karpilovsky","year":"1985","unstructured":"Karpilovsky, G., Projective Representations of Finite Groups, Marcel Dekker, New York, 1985."},{"key":"12_CR24","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1109\/TIT.1974.1055262","volume":"IT-20","author":"T. Kasami","year":"1974","unstructured":"Kasami, T., A Gilbert-Varshamov bound for quasi-cyclic codes of rate 1\/2, IEEE-Trans IT, IT-20 (1974) 679.","journal-title":"IEEE-Trans IT"},{"key":"12_CR25","first-page":"37","volume":"26B","author":"C. Mackenzie","year":"1988","unstructured":"Mackenzie, C. and Seberry, J., Maximal q-ary codes and Plotkin's bound, Ars Combin. 26B (1988) 37\u201350.","journal-title":"Ars Combin."},{"key":"12_CR26","volume-title":"Induced Representations of Groups and Quantum Mechanics","author":"G. W. Mackey","year":"1968","unstructured":"Mackey, G. W., Induced Representations of Groups and Quantum Mechanics, W. A. Benjamin, New York, 1968."},{"key":"12_CR27","volume-title":"Homology, 3rd corr. printing","author":"S. MacLane","year":"1975","unstructured":"MacLane, S., Homology, 3rd corr. printing, Springer, Berlin, 1975."},{"key":"12_CR28","volume-title":"The Theory of Error-Correcting Codes","author":"F. J. MacWilliams","year":"1977","unstructured":"MacWilliams, F. J., Sloane, N. J. A., The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1977."},{"key":"12_CR29","unstructured":"Poli, A., Huguet, L., Error Correcting Codes, Theory and Applications, Prentice Hall, 1992."},{"key":"12_CR30","doi-asserted-by":"crossref","unstructured":"Pott, A., Finite Geometry and Character Theory, LNM 1601, Springer, 1995.","DOI":"10.1007\/BFb0094449"},{"key":"12_CR31","doi-asserted-by":"crossref","unstructured":"Sabin, R. E., On determining all codes in semi-simple group rings, Proc. AAECC-10, Lecture Notes in Computer Science 673, Springer (1993), 279\u2013290.","DOI":"10.1007\/3-540-56686-4_50"},{"key":"12_CR32","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1002\/j.1538-7305.1968.tb02486.x","volume":"47","author":"D. Slepian","year":"1968","unstructured":"Slepian, D., Group codes for the Gaussian channel, Bell Syst. Tech. J. 47 (1968) 575\u2013602.","journal-title":"Bell Syst. Tech. J."},{"key":"12_CR33","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/0097-3165(89)90030-7","volume":"52","author":"V. D. Tonchev","year":"1989","unstructured":"Tonchev, V. D., Self-orthogonal designs and extremal doubly even codes, J. Combin. Th. Ser. A 52 (1989), 197\u2013205.","journal-title":"J. Combin. Th. Ser. A"}],"container-title":["Lecture Notes in Computer Science","Applied Algebra, Algebraic Algorithms and Error-Correcting Codes"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-63163-1_12.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T16:16:14Z","timestamp":1605629774000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-63163-1_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"ISBN":["9783540631637","9783540691938"],"references-count":33,"URL":"https:\/\/doi.org\/10.1007\/3-540-63163-1_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997]]}}}