{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T00:56:05Z","timestamp":1775091365829,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":24,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540213246","type":"print"},{"value":"9783540246336","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2004]]},"DOI":"10.1007\/978-3-540-24633-6_10","type":"book-chapter","created":{"date-parts":[[2010,8,2]],"date-time":"2010-08-02T08:38:22Z","timestamp":1280738302000},"page":"137-144","source":"Crossref","is-referenced-by-count":141,"title":["Constructions of Mutually Unbiased Bases"],"prefix":"10.1007","author":[{"given":"Andreas","family":"Klappenecker","sequence":"first","affiliation":[]},{"given":"Martin","family":"R\u00f6tteler","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"3","key":"10_CR1","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1109\/TIT.1980.1056185","volume":"26","author":"W.O. Alltop","year":"1980","unstructured":"Alltop, W.O.: Complex sequences with low periodic correlations. IEEE Transactions on Information Theory\u00a026(3), 350\u2013354 (1980)","journal-title":"IEEE Transactions on Information Theory"},{"key":"10_CR2","doi-asserted-by":"crossref","unstructured":"Aravind, P.K.: Solution to the king\u2019s problem in prime power dimensions. Z. Naturforschung\u00a058a, 2212 (2003)","DOI":"10.1515\/zna-2003-2-302"},{"key":"10_CR3","doi-asserted-by":"publisher","first-page":"512","DOI":"10.1007\/s00453-002-0980-7","volume":"34","author":"S. Bandyopadhyay","year":"2002","unstructured":"Bandyopadhyay, S., Boykin, P.O., Roychowdhury, V., Vatan, F.: A new proof of the existence of mutually unbiased bases. Algorithmica\u00a034, 512\u2013528 (2002)","journal-title":"Algorithmica"},{"issue":"6","key":"10_CR4","doi-asserted-by":"crossref","first-page":"062308","DOI":"10.1103\/PhysRevA.61.062308","volume":"61","author":"H. Bechmann-Pasquinucci","year":"2000","unstructured":"Bechmann-Pasquinucci, H., Tittel, W.: Quantum cryptography using larger alphabets. Phys. Rev. A\u00a061(6), 062308 (2000)","journal-title":"Phys. Rev. A"},{"key":"10_CR5","first-page":"175","volume-title":"Proceedings of the IEEE Intl. Conf. Computers, Systems, and Signal Processing","author":"C.H. Bennett","year":"1984","unstructured":"Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. In: Proceedings of the IEEE Intl. Conf. Computers, Systems, and Signal Processing, pp. 175\u2013179. IEEE, Los Alamitos (1984)"},{"key":"10_CR6","volume-title":"Design Theory","author":"T. Beth","year":"1999","unstructured":"Beth, T., Jungnickel, D., Lenz, H.: Design Theory, 2nd edn., vol.\u00a02. Cambridge University Press, Cambridge (1999)","edition":"2"},{"key":"10_CR7","volume-title":"Random Graphs","author":"B. Bollob\u00e1s","year":"1985","unstructured":"Bollob\u00e1s, B.: Random Graphs. Academic Press, London (1985)"},{"key":"10_CR8","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/978-3-642-57189-3_5","volume-title":"Coding Theory, Cryprography and Related Areas","author":"C. Carlet","year":"2000","unstructured":"Carlet, C.: One-weight Z4-linear codes. In: Buchmann, J., H\u00f8holdt, T., Stichtenoth, H., Tapia-Recillas, H. (eds.) Coding Theory, Cryprography and Related Areas, pp. 57\u201372. Springer, Heidelberg (2000)"},{"key":"10_CR9","doi-asserted-by":"crossref","first-page":"044301","DOI":"10.1103\/PhysRevA.65.044301","volume":"65","author":"S. Chaturvedi","year":"2002","unstructured":"Chaturvedi, S.: Aspects of mutually unbiased bases in odd-prime-power dimensions. Phys. Rev. A\u00a065, 044301 (2002)","journal-title":"Phys. Rev. A"},{"key":"10_CR10","doi-asserted-by":"publisher","first-page":"204","DOI":"10.4153\/CJM-1960-017-2","volume":"12","author":"S. Chowla","year":"1960","unstructured":"Chowla, S., Erd\u00f6s, P., Strauss, E.G.: On the maximal number of pairwise orthogonal latin squares of given order. Canadian J. Math.\u00a012, 204\u2013208 (1960)","journal-title":"Canadian J. Math."},{"key":"10_CR11","unstructured":"Delsarte, P., Goethals, J.M., Seidel, J.J.: Bounds for systems of lines, and Jacobi polynomials. Philips Res. Repts., 91\u2013105 (1975)"},{"key":"10_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0375-9601(01)00271-7","volume":"284","author":"B.-G. Englert","year":"2001","unstructured":"Englert, B.-G., Aharonov, Y.: The mean king\u2019s problem: Prime degrees of freedom. Phys. Letters\u00a0284, 1\u20135 (2001)","journal-title":"Phys. Letters"},{"key":"10_CR13","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/S0195-6698(82)80035-8","volume":"3","author":"S.G. Hoggar","year":"1982","unstructured":"Hoggar, S.G.: t-designs in projective spaces. Europ. J. Combin.\u00a03, 233\u2013254 (1982)","journal-title":"Europ. J. Combin."},{"key":"10_CR14","doi-asserted-by":"publisher","first-page":"3241","DOI":"10.1088\/0305-4470\/14\/12\/019","volume":"14","author":"I.D. Ivanovi\u0107","year":"1981","unstructured":"Ivanovi\u0107, I.D.: Geometrical description of quantal state determination. J. Phys. A\u00a014, 3241\u20133245 (1981)","journal-title":"J. Phys. A"},{"issue":"1","key":"10_CR15","first-page":"1","volume":"14","author":"G.A. Kabatiansky","year":"1978","unstructured":"Kabatiansky, G.A., Levenshtein, V.I.: Bounds for packings on a sphere and in space. Problems of Information Transmission\u00a014(1), 1\u201317 (1978)","journal-title":"Problems of Information Transmission"},{"key":"10_CR16","volume-title":"Discrete Mathematics Using Latin Squares","author":"C.F. Laywine","year":"1998","unstructured":"Laywine, C.F., Mullen, G.L.: Discrete Mathematics Using Latin Squares. John Wiley, New York (1998)"},{"key":"10_CR17","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139172769","volume-title":"Introduction to finite fields and their applications","author":"R. Lidl","year":"1994","unstructured":"Lidl, R., Niederreiter, H.: Introduction to finite fields and their applications, 2nd edn. Cambridge University Press, Cambridge (1994)","edition":"2"},{"key":"10_CR18","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1073\/pnas.46.4.570","volume":"46","author":"J. Schwinger","year":"1960","unstructured":"Schwinger, J.: Unitary operator bases. Proc. Nat. Acad. Sci. U.S.A.\u00a046, 570\u2013579 (1960)","journal-title":"Proc. Nat. Acad. Sci. U.S.A."},{"key":"10_CR19","doi-asserted-by":"publisher","first-page":"1385","DOI":"10.1103\/PhysRevLett.58.1385","volume":"58","author":"L. Vaidman","year":"1987","unstructured":"Vaidman, L., Aharonov, Y., Albert, D.Z.: How to ascertain the values of \u03c3 x , \u03c3 y , and \u03c3 z . Phys. Rev. Lett.\u00a058, 1385\u20131387 (1987)","journal-title":"Phys. Rev. Lett."},{"key":"10_CR20","doi-asserted-by":"crossref","DOI":"10.1142\/3603","volume-title":"Quaternary Codes","author":"Z.-X. Wan","year":"1997","unstructured":"Wan, Z.-X.: Quaternary Codes. World-Scientific, Singapore (1997)"},{"key":"10_CR21","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/0012-365X(74)90148-4","volume":"9","author":"R.M. Wilson","year":"1974","unstructured":"Wilson, R.M.: Concerning the number of mutually orthogonal Latin squares. Discr. Math.\u00a09, 181\u2013198 (1974)","journal-title":"Discr. Math."},{"key":"10_CR22","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/0003-4916(89)90322-9","volume":"191","author":"W.K. Wootters","year":"1989","unstructured":"Wootters, W.K., Fields, B.D.: Optimal state-determination by mutually unbiased measurements. Ann. Physics\u00a0191, 363\u2013381 (1989)","journal-title":"Ann. Physics"},{"issue":"5","key":"10_CR23","doi-asserted-by":"publisher","first-page":"1587","DOI":"10.1109\/18.532905","volume":"42","author":"K. Yang","year":"1996","unstructured":"Yang, K., Helleseth, T., Kumar, P.V., Shanbhag, A.G.: On the weight hierarchy of Kerdock codes over Z4. IEEE Transactions on Information Theory\u00a042(5), 1587\u20131593 (1996)","journal-title":"IEEE Transactions on Information Theory"},{"key":"10_CR24","unstructured":"Zauner, G.: Quantendesigns \u2013 Grundz\u00fcge einer nichtkommutativen Designtheorie. PhD thesis, Universit\u00e4t Wien (1999)"}],"container-title":["Lecture Notes in Computer Science","Finite Fields and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-24633-6_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T22:54:43Z","timestamp":1559343283000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-24633-6_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004]]},"ISBN":["9783540213246","9783540246336"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-24633-6_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004]]}}}