{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T14:02:30Z","timestamp":1761919350465},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540275800"},{"type":"electronic","value":"9783540316916"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11523468_27","type":"book-chapter","created":{"date-parts":[[2010,7,18]],"date-time":"2010-07-18T18:58:59Z","timestamp":1279479539000},"page":"324-334","source":"Crossref","is-referenced-by-count":16,"title":["Classification of Boolean Functions of 6 Variables or Less with Respect to Some Cryptographic Properties"],"prefix":"10.1007","author":[{"given":"An","family":"Braeken","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuri","family":"Borissov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Svetla","family":"Nikova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bart","family":"Preneel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"27_CR1","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1109\/TIT.1972.1054732","volume":"18","author":"E. Berlekamp","year":"1972","unstructured":"Berlekamp, E., Welch, L.: Weight Distribution of the Cosets of the (32,6) Reed-Muller Code. IEEE Transactions on Information Theory\u00a018, 203\u2013207 (1972)","journal-title":"IEEE Transactions on Information Theory"},{"key":"27_CR2","first-page":"179","volume-title":"2003 IEEE Information Theory Workshop (ITW 2003)","author":"E. Brier","year":"2003","unstructured":"Brier, E., Langevin, P.: Classification of Boolean Cubic Forms of Nine Variables. In: 2003 IEEE Information Theory Workshop (ITW 2003), pp. 179\u2013182. IEEE Press, Los Alamitos (2003)"},{"key":"27_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1007\/3-540-46766-1_6","volume-title":"Advances in Cryptology - CRYPTO \u201991","author":"P. Camion","year":"1992","unstructured":"Camion, P., Carlet, C., Charpin, P., Sendrier, N.: On Correlation-Immune Functions. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol.\u00a0576, pp. 86\u2013100. Springer, Heidelberg (1992)"},{"issue":"1","key":"27_CR4","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1006\/ffta.2001.0332","volume":"8","author":"C. Carlet","year":"2002","unstructured":"Carlet, C., Sarkar, P.: Spectral Domain Analysis of Correlation Immune and Resilient Boolean Functions. Finite Fields and Applications\u00a08(1), 120\u2013130 (2002)","journal-title":"Finite Fields and Applications"},{"key":"27_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"246","DOI":"10.1007\/3-540-36231-2_20","volume-title":"Progress in Cryptology - INDOCRYPT 2002","author":"J. Clark","year":"2002","unstructured":"Clark, J., Jacob, J.L., Stepney, S., Maitra, S., Millan, W.: Evolving Boolean Functions Satisfying Multiple Criteria. In: Menezes, A., Sarkar, P. (eds.) INDOCRYPT 2002. LNCS, vol.\u00a02551, pp. 246\u2013259. Springer, Heidelberg (2002)"},{"key":"27_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1007\/3-540-39118-5_23","volume-title":"Advances in Cryptology - EUROCRYPT \u201987","author":"J.H. Evertse","year":"1988","unstructured":"Evertse, J.H.: Linear Structures in Block Ciphers. In: Price, W.L., Chaum, D. (eds.) EUROCRYPT 1987. LNCS, vol.\u00a0304, pp. 249\u2013266. Springer, Heidelberg (1988)"},{"issue":"195","key":"27_CR7","first-page":"403","volume":"57","author":"J. Maiorana","year":"1991","unstructured":"Maiorana, J.: A Classification of the Cosets of the Reed-Muller Code R(1,6). Mathematics of Computation\u00a057(195), 403\u2013414 (1991)","journal-title":"Mathematics of Computation"},{"issue":"3","key":"27_CR8","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1109\/18.6037","volume":"34","author":"X. Guo-Zhen","year":"1988","unstructured":"Guo-Zhen, X., Massey, J.: A Spectral Characterization of Correlation-Immune Combining Functions. IEEE Transactions on Information Theory\u00a034(3), 569\u2013571 (1988)","journal-title":"IEEE Transactions on Information Theory"},{"key":"27_CR9","doi-asserted-by":"publisher","first-page":"921","DOI":"10.1006\/jabr.1995.1043","volume":"171","author":"X.-D. Hou","year":"1995","unstructured":"Hou, X.-D.: AGL(m,2) Acting on RM(r,m)\/RM(s,m). Journal of Algebra\u00a0171, 921\u2013938 (1995)","journal-title":"Journal of Algebra"},{"key":"27_CR10","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/0012-365X(94)00342-G","volume":"149","author":"X.-D. Hou","year":"1996","unstructured":"Hou, X.-D.: GL(m,2) Acting on R(r,m)\/R(r\u2009\u2212\u2009\u2212\u20091,m). Discrete Mathematics\u00a0149, 99\u2013122 (1996)","journal-title":"Discrete Mathematics"},{"key":"27_CR11","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 Publishing Company, Amsterdam (1977)"},{"issue":"7","key":"27_CR12","doi-asserted-by":"publisher","first-page":"1825","DOI":"10.1109\/TIT.2002.1013128","volume":"48","author":"S. Maitra","year":"2002","unstructured":"Maitra, S., Pasalic, E.: Further Constructions of Resilient Boolean Functions with Very High Nonlinearity. IEEE Transactions on Information Theory\u00a048(7), 1825\u20131834 (2002)","journal-title":"IEEE Transactions on Information Theory"},{"key":"27_CR13","doi-asserted-by":"crossref","unstructured":"Pasalic, E., Johansson, T., Maitra, S., Sarkar, P.: New Constructions of Resilient and Correlation Immune Boolean Functions Achieving Upper Bounds on Nonlinearity. In: Workshop on Coding and Cryptography 2001, pp. 425\u2013435 (2001)","DOI":"10.1016\/S1571-0653(04)00167-2"},{"key":"27_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/3-540-46877-3_14","volume-title":"Advances in Cryptology - EUROCRYPT \u201990","author":"B. Preneel","year":"1991","unstructured":"Preneel, B., Van Leekwijck, W., Van Linden, L., Govaerts, R., Vandewalle, J.: Propagation Characteristics of Boolean Functions. In: Damg\u00e5rd, I.B. (ed.) EUROCRYPT 1990. LNCS, vol.\u00a0473, pp. 161\u2013173. Springer, Heidelberg (1991)"},{"key":"27_CR15","unstructured":"Preneel, B.: Analysis and design of cryptographic hash functions, PhD. Thesis, Katholieke Universiteit Leuven (1993)"},{"key":"27_CR16","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1023\/B:DESI.0000012443.88578.69","volume":"31","author":"P. Stanica","year":"2004","unstructured":"Stanica, P., Sung, S.H.: Boolean Functions with Five Controllable Cryptographic Properties. Designs, Codes and Cryptography\u00a031, 147\u2013157 (2004)","journal-title":"Designs, Codes and Cryptography"},{"issue":"5","key":"27_CR17","doi-asserted-by":"publisher","first-page":"776","DOI":"10.1109\/TIT.1984.1056949","volume":"30","author":"T. Siegenthaler","year":"1984","unstructured":"Siegenthaler, T.: Correlation-Immunity of Non-linear Combining Functions for Cryptographic Applications. IEEE Transactions on Information Theory\u00a030(5), 776\u2013780 (1984)","journal-title":"IEEE Transactions on Information Theory"},{"key":"27_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1007\/3-540-45682-1_27","volume-title":"Advances in Cryptology - ASIACRYPT 2001","author":"Y. Tarannikov","year":"2001","unstructured":"Tarannikov, Y., Korolev, P., Botev, A.: Autocorrelation Coefficients and Correlation Immunity of Boolean Functions. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol.\u00a02248, pp. 460\u2013479. Springer, Heidelberg (2001)"},{"issue":"5","key":"27_CR19","first-page":"316","volume":"1","author":"Y. Zheng","year":"1995","unstructured":"Zheng, Y., Zhang, X.M.: GAC - the Criterion for Global Avalanche Characteristics of Cryptographic Functions. Journal for Universal Computer Science\u00a01(5), 316\u2013333 (1995)","journal-title":"Journal for Universal Computer Science"},{"key":"27_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"470","DOI":"10.1007\/3-540-44448-3_36","volume-title":"Advances in Cryptology - ASIACRYPT 2000","author":"Y. Zheng","year":"2000","unstructured":"Zheng, Y., Zhang, X.M.: On Relationship Among Avalanche, Nonlinearity, and Propagation Criteria. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol.\u00a01976, pp. 470\u2013483. Springer, Heidelberg (2000)"}],"container-title":["Lecture Notes in Computer Science","Automata, Languages and Programming"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11523468_27.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T06:46:55Z","timestamp":1619506015000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11523468_27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540275800","9783540316916"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/11523468_27","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}