{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T02:59:11Z","timestamp":1778295551896,"version":"3.51.4"},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540611868","type":"print"},{"value":"9783540683391","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1996]]},"DOI":"10.1007\/3-540-68339-9_26","type":"book-chapter","created":{"date-parts":[[2007,8,6]],"date-time":"2007-08-06T01:31:14Z","timestamp":1186363874000},"page":"294-306","source":"Crossref","is-referenced-by-count":12,"title":["Auto-Correlations and New Bounds on the Nonlinearity of Boolean Functions"],"prefix":"10.1007","author":[{"given":"Xian-Mo","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Yuliang","family":"Zheng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2001,7,13]]},"reference":[{"key":"26_CR1","unstructured":"Beauchamp, K. G.: Applications of Walsh and Related Functions with an Introduction to Sequency Functions. Academic Press London, New York, Tokyo 1984."},{"key":"26_CR2","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/BF01388412","volume":"3","author":"C. Carlet","year":"1993","unstructured":"Carlet, C.: Partially-bent functions. Designs, Codes and Cryptography 3 (1993) 135\u2013145.","journal-title":"Designs, Codes and Cryptography"},{"key":"26_CR3","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1109\/TIT.1985.1057043","volume":"IT-31","author":"G. D. Cohen","year":"1985","unstructured":"Cohen, G. D., Karpovsky, M. G., H. F. Mattson, J., Schatz, J. R.: Covering radius \u2014 survey and recent results. IEEE Transactions on Information Theory IT-31 (1985) 328\u2013343.","journal-title":"IEEE Transactions on Information Theory"},{"key":"26_CR4","unstructured":"Dillon, J. F.: A survey of bent functions. The NSA Technical Journal (1972) 191\u2013215. (unclassified)"},{"key":"26_CR5","volume-title":"The Theory of Error-Correcting Codes","author":"F. J. MacWilliams","year":"1978","unstructured":"MacWilliams, F. J., Sloane, N. J. A.: The Theory of Error-Correcting Codes. North-Holland Amsterdam, New York, Oxford 1978."},{"key":"26_CR6","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1007\/3-540-48285-7_33","volume-title":"Advances in Cryptology-EUROCRYPT\u201993","author":"M. Matsui","year":"1994","unstructured":"Matsui, M.: Linear cryptanalysis method for DES cipher. In Advances in Cryptology-EUROCRYPT\u201993 (1994) vol. 765, LNCS Springer-Verlag, Berlin, New York pp. 386\u2013397."},{"key":"26_CR7","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/3-540-46416-6_12","volume-title":"Advances in Cryptology-EUROCRYPT\u201991","author":"B. Preneel","year":"1991","unstructured":"Preneel, B., Govaerts, R., Vandewalle, J.: Boolean functions satisfying higher order propagation criteria. In Advances in Cryptology-EUROCRYPT\u201991 (1991) vol. 547, LNCS Springer-Verlag, Berlin, New York pp. 141\u2013152."},{"key":"26_CR8","series-title":"Lect Notes Comput Sci","first-page":"155","volume-title":"Advances in Cryptology-EUROCRYPT\u201990","author":"B. Preneel","year":"1991","unstructured":"Preneel, B., Leekwijck, W. V., Linden, L. V., Govaerts, R., Vandewalle, J.: Propagation characteristics of boolean functions. In Advances in Cryptology-EUROCRYPT\u201990 (1991) vol. 437, LNCS Springer-Verlag, Berlin, New York pp. 155\u2013165."},{"key":"26_CR9","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1016\/0097-3165(76)90024-8","volume":"20","author":"O. S. Rothaus","year":"1976","unstructured":"Rothaus, O. S.: On \u201cbent\u201d functions. Journal of Combinatorial Theory Ser. A, 20 (1976) 300\u2013305.","journal-title":"Journal of Combinatorial Theory"},{"key":"26_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/inco.1995.1073","volume":"119","author":"J. Seberry","year":"1995","unstructured":"Seberry, J., Zhang, X. M., Zheng, Y.: Nonlinearity and propagation characteristics of balanced boolean functions. Information and Computation 119 (1995) 1\u201313.","journal-title":"Information and Computation"},{"key":"26_CR11","first-page":"136","volume":"1","author":"J. Seberry","year":"1995","unstructured":"Seberry, J., Zhang, X. M., Zheng, Y.: The relationship between propagation characteristics and nonlinearity of cryptographic functions. Journal of Universal Computer Science 1 (1995) 136\u2013150. (available at \n                    http:\/\/hgiicm.tu-graz.ac.at\/\n                    \n                  )","journal-title":"Journal of Universal Computer Science"},{"key":"26_CR12","first-page":"316","volume":"1","author":"X. M. Zhang","year":"1995","unstructured":"Zhang, X. M., Zheng, Y.: GAC \u2014 the criterion for global avalanche characteristics of cryptographic functions. Journal of Universal Computer Science 1 (1995) 316\u2013333. (available at \n                    http:\/\/hgiicm.tu-graz.ac.at\/\n                    \n                  )","journal-title":"Journal of Universal Computer Science"},{"key":"26_CR13","first-page":"111","volume":"7","author":"X. M. Zhang","year":"1996","unstructured":"Zhang, X. M., Zheng, Y.: Characterizing the structures of cryptographic functions satisfying the propagation criterion for almost all vectors. Design, Codes and Cryptography 7 (1996) 111\u2013134.","journal-title":"Design, Codes and Cryptography"}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2014 EUROCRYPT \u201996"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-68339-9_26","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,1,24]],"date-time":"2019-01-24T18:48:22Z","timestamp":1548355702000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-68339-9_26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996]]},"ISBN":["9783540611868","9783540683391"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-68339-9_26","relation":{},"ISSN":["0302-9743"],"issn-type":[{"value":"0302-9743","type":"print"}],"subject":[],"published":{"date-parts":[[1996]]}}}