{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T14:23:12Z","timestamp":1725459792073},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642354151"},{"type":"electronic","value":"9783642354168"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-35416-8_4","type":"book-chapter","created":{"date-parts":[[2012,11,14]],"date-time":"2012-11-14T22:35:58Z","timestamp":1352932558000},"page":"43-54","source":"Crossref","is-referenced-by-count":0,"title":["Enumeration of Even-Variable Boolean Functions with Maximum Algebraic Immunity"],"prefix":"10.1007","author":[{"given":"Wentao","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Hai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaojing","family":"Fu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanfeng","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"4_CR1","doi-asserted-by":"publisher","first-page":"3105","DOI":"10.1109\/TIT.2006.876253","volume":"52","author":"C. Carlet","year":"2006","unstructured":"Carlet, C., Dalai, D.K., Gupta, K.C., Maitra, S.: Algebraic Immunity for Cryptographically Significant Boolean Functions: Analysis and Construction. IEEE Transactions on Information Theory\u00a052, 3105\u20133121 (2006)","journal-title":"IEEE Transactions on Information Theory"},{"key":"4_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/978-3-540-89255-7_26","volume-title":"Advances in Cryptology - ASIACRYPT 2008","author":"C. Carlet","year":"2008","unstructured":"Carlet, C., Feng, K.: An Infinite Class of Balanced Functions with Optimal Algebraic Immunity, Good Immunity to Fast Algebraic Attacks and Good Nonlinearity. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol.\u00a05350, pp. 425\u2013440. Springer, Heidelberg (2008)"},{"key":"4_CR3","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1007\/s10623-009-9284-0","volume":"52","author":"C. Carlet","year":"2009","unstructured":"Carlet, C., Zeng, X.Y., Li, C.L., Hu, L.: Further properties of several classes of Boolean functions with optimum algebraic immunity. Design, Codes and Cryptography\u00a052, 303\u2013338 (2009)","journal-title":"Design, Codes and Cryptography"},{"key":"4_CR4","doi-asserted-by":"publisher","first-page":"2522","DOI":"10.1109\/TIT.2011.2111810","volume":"57","author":"Y.D. Chen","year":"2011","unstructured":"Chen, Y.D., Lu, P.Z.: Two classes of symmetric Boolean functions with optimum algebraic immunity: construction and analysis. IEEE Transactions on Information Theory\u00a057, 2522\u20132538 (2011)","journal-title":"IEEE Transactions on Information Theory"},{"key":"4_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1007\/3-540-39200-9_21","volume-title":"Advances in Cryptology \u2013 EUROCRPYT 2003","author":"N. Courtois","year":"2003","unstructured":"Courtois, N., Meier, W.: Algebraic Attacks on Stream Ciphers with Linear Feedback. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol.\u00a02656, pp. 345\u2013359. Springer, Heidelberg (2003)"},{"key":"4_CR6","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s10623-005-6300-x","volume":"40","author":"D.K. Dalai","year":"2006","unstructured":"Dalai, D.K., Maitra, S., Sarkar, S.: Basic theory in construction of Boolean functions with maximum possible annihilator immunity. Design, Codes and Cryptography\u00a040, 41\u201358 (2006)","journal-title":"Design, Codes and Cryptography"},{"issue":"4","key":"4_CR7","doi-asserted-by":"publisher","first-page":"780","DOI":"10.1007\/s11432-010-0064-2","volume":"53","author":"Y.S. Du","year":"2010","unstructured":"Du, Y.S., Pei, D.Y.: Construction of Boolean functions with maximum algebraic immunity and count of their annihilators at lowest degree. SCIENCE CHINA Information Sciences\u00a053(4), 780\u2013787 (2010)","journal-title":"SCIENCE CHINA Information Sciences"},{"issue":"2","key":"4_CR8","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1049\/iet-ifs.2010.0048","volume":"5","author":"S.J. Fu","year":"2011","unstructured":"Fu, S.J., Qu, L.J., Li, C., Sun, B.: Balanced Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity. IET Information Security\u00a05(2), 93\u201399 (2011)","journal-title":"IET Information Security"},{"key":"4_CR9","unstructured":"Fu, S.J., Li, C., Matsuura, K., Qu, L.J.: Construction of Even-variable Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity. SCIENCE CHINA Information Sciences (2012), doi:10.1007\/s11432-011- 4350"},{"key":"4_CR10","doi-asserted-by":"publisher","first-page":"2093","DOI":"10.1016\/j.aml.2011.06.004","volume":"24","author":"S.J. Fu","year":"2011","unstructured":"Fu, S.J., Qu, L.J., Li, C., Sun, B.: Blanced 2p-variable Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity. Applied mathematical Letters\u00a024, 2093\u20132096 (2011)","journal-title":"Applied mathematical Letters"},{"key":"4_CR11","unstructured":"Hai, X., Fu, S.J., Li, C.: On the Number of Balanced Even-Variable Boolean Function with Maximum Algebraic Immunity. In: 2011 International Conference on Information Technology for Manufacturing Systems (ITMS 2011), pp. 227\u2013232 (2011)"},{"issue":"3","key":"4_CR12","doi-asserted-by":"publisher","first-page":"640","DOI":"10.1587\/transfun.E93.A.640","volume":"E93-A","author":"Y. Li","year":"2010","unstructured":"Li, Y., Yang, M., Kan, H.B.: Constructing and counting Boolean functions on even variables with maximum algebraic immunity. IEICE Transactions on Fundamentals\u00a0E93-A(3), 640\u2013643 (2010)","journal-title":"IEICE Transactions on Fundamentals"},{"issue":"3","key":"4_CR13","doi-asserted-by":"publisher","first-page":"1330","DOI":"10.1109\/TIT.2007.915914","volume":"54","author":"N. Li","year":"2008","unstructured":"Li, N., et al.: On the construction of Boolean functions with optimal algebraic immunity. IEEE Transactions on Information Theory\u00a054(3), 1330\u20131334 (2008)","journal-title":"IEEE Transactions on Information Theory"},{"issue":"11","key":"4_CR14","doi-asserted-by":"publisher","first-page":"2847","DOI":"10.1007\/s11425-010-4059-7","volume":"53","author":"M.C. Liu","year":"2010","unstructured":"Liu, M.C., Du, Y.S., Pei, D.Y., Lin, D.D.: On designated-weight Boolean functions with highest algebraic immunity. Sci. China Math.\u00a053(11), 2847\u20132854 (2010)","journal-title":"Sci. China Math."},{"key":"4_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1007\/978-3-540-24676-3_28","volume-title":"Advances in Cryptology - EUROCRYPT 2004","author":"W. Meier","year":"2004","unstructured":"Meier, W., Pasalic, E., Carlet, C.: Algebraic Attacks and Decomposition of Boolean Functions. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol.\u00a03027, pp. 474\u2013491. Springer, Heidelberg (2004)"},{"issue":"2","key":"4_CR16","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/s11390-011-9433-6","volume":"26","author":"S.S. Pan","year":"2011","unstructured":"Pan, S.S., Fu, X.T., Zhang, W.G.: Construction of 1-Resilient Boolean Functions with Optimal Algebraic Immunity and Good Nonlinearity. Journal of computer science and technology\u00a026(2), 269\u2013275 (2011)","journal-title":"Journal of computer science and technology"},{"issue":"2","key":"4_CR17","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1007\/s11432-008-0010-8","volume":"51","author":"L.J. Qu","year":"2008","unstructured":"Qu, L.J., Li, C.: On the 2\n                    m\n                  -variable symmetric Boolean functions with maximum algebraic immunity. SCIENCE CHINA Information Sciences\u00a051(2), 120\u2013127 (2008)","journal-title":"SCIENCE CHINA Information Sciences"},{"key":"4_CR18","doi-asserted-by":"publisher","first-page":"2406","DOI":"10.1109\/TIT.2009.2015999","volume":"55","author":"L.J. Qu","year":"2009","unstructured":"Qu, L.J., Feng, K.Q., Liu, F., Wang, L.: Constructing Symmetric Boolean Functions With Maximum Algebraic Immunity. IEEE Transactions on Information Theory\u00a055, 2406\u20132412 (2009)","journal-title":"IEEE Transactions on Information Theory"},{"issue":"1","key":"4_CR19","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10623-010-9413-9","volume":"60","author":"Z.R. Tu","year":"2011","unstructured":"Tu, Z.R., Deng, Y.P.: A Conjecture on Binary String and Its Applications on Constructing Boolean Functions of Optimal Algebraic Immunity. Designs, Codes and Cryptography\u00a060(1), 1\u201314 (2011)","journal-title":"Designs, Codes and Cryptography"},{"issue":"6","key":"4_CR20","doi-asserted-by":"publisher","first-page":"3048","DOI":"10.1109\/TIT.2010.2046195","volume":"56","author":"Q. Wang","year":"2010","unstructured":"Wang, Q., Peng, J., Kan, H., Xue, X.: Constructions of cryptographically significant Boolean functions using primitive polynomials. IEEE Transactions on Information Theory\u00a056(6), 3048\u20133053 (2010)","journal-title":"IEEE Transactions on Information Theory"},{"key":"4_CR21","unstructured":"Xiong, X., Fu, S.J., Qu, L.J.: The Number of Even-Variable Boolean Function with Maximum Algebraic Immunity. In: Chinacrypt 2010, Beijing (October 2010)"},{"issue":"9","key":"4_CR22","doi-asserted-by":"publisher","first-page":"6310","DOI":"10.1109\/TIT.2011.2109935","volume":"57","author":"X.Y. Zeng","year":"2011","unstructured":"Zeng, X.Y., Carlet, C., Shan, J.Y., Hu, L.: More Balanced Boolean Functions with optimum Algebraic Immunity and good Nonlinearity and Resistance to Fast Algebraic Attacks. IEEE Transactions on Information Theory\u00a057(9), 6310\u20136320 (2011)","journal-title":"IEEE Transactions on Information Theory"},{"key":"4_CR23","doi-asserted-by":"crossref","unstructured":"Zhang, F.L., Hu, Y.P., Xie, M., Wei, Y.Z.: Constructions of 1-resilient Boolean functions on odd number of variables with a high nonlinearity. Security and Communication Networks (2011), doi:10.1002\/sec.356","DOI":"10.1002\/sec.356"}],"container-title":["Lecture Notes in Computer Science","Information Security Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-35416-8_4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T09:15:19Z","timestamp":1620119719000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-35416-8_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642354151","9783642354168"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-35416-8_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}