{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,14]],"date-time":"2024-02-14T11:11:29Z","timestamp":1707909089678},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2007,5,18]],"date-time":"2007-05-18T00:00:00Z","timestamp":1179446400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2007,5,18]],"date-time":"2007-05-18T00:00:00Z","timestamp":1179446400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des Codes Crypt"],"published-print":{"date-parts":[[2007,6]]},"DOI":"10.1007\/s10623-007-9059-4","type":"journal-article","created":{"date-parts":[[2007,5,17]],"date-time":"2007-05-17T22:45:33Z","timestamp":1179441933000},"page":"167-179","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Projective aspects of the AES inversion"],"prefix":"10.1007","volume":"43","author":[{"given":"Wen-Ai","family":"Jackson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Murphy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,5,18]]},"reference":[{"key":"9059_CR1","doi-asserted-by":"crossref","unstructured":"Aoki K, Vaudenay S (2004) On the use of GF-inversion as a cryptographic primitive. In: Proceedings of the selected areas in cryptography (SAC) 2003. LNCS,vol 3006. Springer Heidelberg, pp 234\u2013347.","DOI":"10.1007\/978-3-540-24654-1_17"},{"key":"9059_CR2","volume-title":"Finite Group Theory","author":"M Aschbacher","year":"1986","unstructured":"Aschbacher M (1986). Finite Group Theory. Cambridge University Press, Cambridge"},{"key":"9059_CR3","first-page":"1","volume-title":"Proceedings of the advances in cryptology\u2014CRYPTO 90. of LNCS, vol. 537","author":"E Biham","year":"1991","unstructured":"Biham E, Shamir A (1991) Differential cryptanalysis of DES-like cryptosystems. In: Menezes AJ, Vanstone SA (eds) Proceedings of the advances in cryptology\u2014CRYPTO 90. of LNCS, vol. 537. Springer, Heidelberg, pp 1\u201321"},{"key":"9059_CR4","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/BF00630563","volume":"4","author":"E Biham","year":"1991","unstructured":"Biham E and Shamir A (1991). Differential cryptanalysis of DES-like cryptosystems. J Cryptology 4: 3\u201372","journal-title":"J Cryptology"},{"key":"9059_CR5","unstructured":"Canteaut A (1997) Differential cryptanalysis of feistel ciphers and differentially \u03b4-uniform mappings. In: proceedings of the selected areas in cryptography (SAC) 1997, Carleton University, Canada."},{"key":"9059_CR6","doi-asserted-by":"crossref","unstructured":"Cid C, Murphy S, Robshaw MJB (2005) An algebraic framework for cipher embeddings. In: proceedings of the 10th IMA International conference on coding and cryptography, CASC 2004: 93\u2013103.","DOI":"10.1007\/11586821_19"},{"key":"9059_CR7","first-page":"234","volume-title":"Proceedings of the Advanced encryption standard\u2014AES: fourth international conference. LNCS,vol 3373","author":"NT Courtois","year":"2005","unstructured":"Courtois NT (2005) The inverse S-box, non-linear polynomial relations and cryptanalysis of block ciphers. In:Rijmen V, Dobbertin H, Sowa A (eds) Proceedings of the Advanced encryption standard\u2014AES: fourth international conference. LNCS,vol 3373. Springer, Heidelbergh, pp 234\u2013347"},{"key":"9059_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-04722-4","volume-title":"The design of rijndael","author":"J Daemen","year":"2002","unstructured":"Daemen J and Rijmen V (2002). The design of rijndael. Springer-Verlag, Heidelberg"},{"key":"9059_CR9","first-page":"42","volume":"17","author":"RA Games","year":"1986","unstructured":"Games RA (1986). The geometry of m-sequences: three valued cross correlations and quadrics in finite projective geometry. SIAM J Alg Disc Meth 17: 42\u201352","journal-title":"SIAM J Alg Disc Meth"},{"key":"9059_CR10","doi-asserted-by":"crossref","unstructured":"Hirschfeld JWP (1998) Projective geometry over finite fields. Oxford Mathematical Monographs, Oxford","DOI":"10.1093\/oso\/9780198502951.001.0001"},{"key":"9059_CR11","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511566066","volume-title":"Design theory","author":"DR Hughes","year":"1985","unstructured":"Hughes DR and Piper FC (1985). Design theory. Cambridge University Press, Cambridge"},{"key":"9059_CR12","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s00145-001-0003-x","volume":"14","author":"T Jakobsen","year":"2001","unstructured":"Jakobsen T and Knudsen L (2001). Attacks on block ciphers of low algebraic degree. J of Cryptol 14: 197\u2013210","journal-title":"J of Cryptol"},{"key":"9059_CR13","first-page":"28","volume-title":"Proceedings of the fast software encryption\u2014FSE97. LNCS, vol 1267","author":"T Jakobsen","year":"1997","unstructured":"Jakobsen T, Knudsen LR (1997) The interpolation attack on block ciphers. In: Biham E (ed) Proceedings of the fast software encryption\u2014FSE97. LNCS, vol 1267. Springer, Heidelberg, pp 28\u201340"},{"key":"9059_CR14","first-page":"17","volume-title":"Proceedings of the advances in cryptology\u2014EUROCRYPT 91.LNCS, vol 547","author":"X Lai","year":"1991","unstructured":"Lai X, Massey JL, Murphy S (1991) Markov ciphers and differential cryptanalysis. In: Davies DW (ed) Proceedings of the advances in cryptology\u2014EUROCRYPT 91.LNCS, vol 547. Springer, Heidelberg, pp 17\u201338"},{"key":"9059_CR15","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 and Niederreiter H (1994). Introduction to finite fields and their applications. Cambridge University Press, Cambridge"},{"key":"9059_CR16","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/BF00195210","volume":"7","author":"S Murphy","year":"1994","unstructured":"Murphy S, Paterson K and Wild P (1994). A weak cipher that generates the symmetric group. J Cryptol 7: 61\u201365","journal-title":"J Cryptol"},{"key":"9059_CR17","first-page":"1","volume-title":"Proceedings of the Advances in Cryptology\u2014CRYPTO 2002.LNCS, vol 2442","author":"S Murphy","year":"2002","unstructured":"Murphy S, Robshaw MJB (2002) Essential algebraic structure within the AES. In: Yung M (ed) Proceedings of the Advances in Cryptology\u2014CRYPTO 2002.LNCS, vol 2442. Springer, Heildelberg, pp 1\u201316"},{"key":"9059_CR18","first-page":"55","volume-title":"Proceedings of the advances in cryptology\u2014EUROCRYPT 93.LNCS, vol 765","author":"K Nyberg","year":"1994","unstructured":"Nyberg K (1994) Differentially uniform mappings for cryptography. In: Helleseth T (ed) Proceedings of the advances in cryptology\u2014EUROCRYPT 93.LNCS, vol 765. Springer, Heidelberg, pp 55\u201364"},{"key":"9059_CR19","unstructured":"National Institute of Standardsand Technology (2001) Federal Information Processing Standards Publication (FIPS) 197: The Advanced Encryption Standard. 26 November"},{"key":"9059_CR20","first-page":"201","volume-title":"Proceedings of the fast software encryption. LNCS, vol 1636","author":"K Paterson","year":"1999","unstructured":"Paterson K (1999) Imprimitive permutation groups and trapdoors in iterated block ciphers. In: Knudsen LR (ed) Proceedings of the fast software encryption. LNCS, vol 1636. Springer, Heidelberg, pp 201\u2013214"},{"key":"9059_CR21","volume-title":"Theory of groups","author":"JJ Rotman","year":"1988","unstructured":"Rotman JJ (1988) Theory of groups. Wm. C. Brown Publishers, Iowa, USA"},{"key":"9059_CR22","first-page":"453","volume-title":"Proceedings of the Advances in cryptology\u2014 EUROCRYPT 93.LNCS. vol 765","author":"W Stephan","year":"1994","unstructured":"Stephan W, Hornauer G, Wernsdorf R (1994) Markov ciphers and alternating groups. In:Helleseth T (ed) Proceedings of the Advances in cryptology\u2014 EUROCRYPT 93.LNCS. vol 765. Springer, Heidelberg, pp 453\u2013460"},{"key":"9059_CR23","volume-title":"Finite groups and finite geometries","author":"T Tsuzuku","year":"1976","unstructured":"Tsuzuku T (1976). Finite groups and finite geometries. Cambridge Unversity Press, Cambridge"},{"key":"9059_CR24","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/3-540-47555-9_9","volume-title":"Proceedings of the advances in cryptology\u2014EUROCRYPT 92. LNCS, vol 658","author":"R Wernsdorf","year":"1993","unstructured":"Wernsdorf R (1993) The one-round functions of the DES generate the alternating group. In: Rueppel RA (ed) Proceedings of the advances in cryptology\u2014EUROCRYPT 92. LNCS, vol 658. Springer, Heidelberg, pp 99\u2013112"},{"key":"9059_CR25","unstructured":"Wernsdorf R (2001) IDEA, SAFER++ and their permutation groups. Proceedings of the second NESSIE workshop, http:\/\/www.cryptonessie.org"},{"key":"9059_CR26","first-page":"143","volume-title":"Proceedings of the fast software encryption\u2014FSE02. LNCS, vol 2365","author":"R Wernsdorf","year":"2002","unstructured":"Wernsdorf R (2002) The round functions of rijndael generate the alternating group. In: Deamen J, Rijmen V (eds) Proceedings of the fast software encryption\u2014FSE02. LNCS, vol 2365. Springer, Heidelberg, pp 143\u2013148"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9059-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10623-007-9059-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9059-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9059-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,14]],"date-time":"2024-02-14T10:48:48Z","timestamp":1707907728000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10623-007-9059-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,18]]},"references-count":26,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2007,6]]}},"alternative-id":["9059"],"URL":"https:\/\/doi.org\/10.1007\/s10623-007-9059-4","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5,18]]},"assertion":[{"value":"3 February 2006","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 February 2007","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 March 2007","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 May 2007","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}