{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T08:16:42Z","timestamp":1771489002427,"version":"3.50.1"},"publisher-location":"Cham","reference-count":30,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031159817","type":"print"},{"value":"9783031159824","type":"electronic"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"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":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-031-15982-4_23","type":"book-chapter","created":{"date-parts":[[2022,10,11]],"date-time":"2022-10-11T04:40:54Z","timestamp":1665463254000},"page":"687-716","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Differential Cryptanalysis in\u00a0the\u00a0Fixed-Key Model"],"prefix":"10.1007","author":[{"given":"Tim","family":"Beyne","sequence":"first","affiliation":[]},{"given":"Vincent","family":"Rijmen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,10,12]]},"reference":[{"key":"23_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1007\/978-3-662-46706-0_27","volume-title":"Fast Software Encryption","author":"F Abed","year":"2015","unstructured":"Abed, F., List, E., Lucks, S., Wenzel, J.: Differential cryptanalysis of round-reduced Simon and Speck. In: Cid, C., Rechberger, C. (eds.) FSE 2014. LNCS, vol. 8540, pp. 525\u2013545. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46706-0_27"},{"key":"23_CR2","doi-asserted-by":"publisher","unstructured":"Ankele, R., K\u00f6lbl, S.: Mind the gap\u2014a closer look at the security of block ciphers against differential cryptanalysis. In: SAC 2018. LNCS, vol. 11349, pp. 163\u2013190 (2018). https:\/\/doi.org\/10.1007\/978-3-030-10970-7_8","DOI":"10.1007\/978-3-030-10970-7_8"},{"key":"23_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-030-03326-2_1","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2018","author":"T Beyne","year":"2018","unstructured":"Beyne, T.: Block cipher invariants as eigenvectors of correlation matrices. In: Peyrin, T., Galbraith, S. (eds.) ASIACRYPT 2018, Part I. LNCS, vol. 11272, pp. 3\u201331. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-030-03326-2_1"},{"key":"23_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1007\/978-3-030-92062-3_2","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2021","author":"T Beyne","year":"2021","unstructured":"Beyne, T.: A geometric approach to\u00a0linear cryptanalysis. In: Tibouchi, M., Wang, H. (eds.) ASIACRYPT 2021, Part I. LNCS, vol. 13090, pp. 36\u201366. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-92062-3_2"},{"key":"23_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1007\/3-540-38424-3_1","volume-title":"Advances in Cryptology-CRYPT0\u2019 90","author":"E Biham","year":"1991","unstructured":"Biham, E., Shamir, A.: Differential cryptanalysis of DES-like cryptosystems. In: Menezes, A.J., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 2\u201321. Springer, Heidelberg (1991). https:\/\/doi.org\/10.1007\/3-540-38424-3_1"},{"key":"23_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1007\/3-540-48071-4_34","volume-title":"Advances in Cryptology \u2014 CRYPTO\u2019 92","author":"E Biham","year":"1993","unstructured":"Biham, E., Shamir, A.: Differential cryptanalysis of the Full 16-round DES. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 487\u2013496. Springer, Heidelberg (1993). https:\/\/doi.org\/10.1007\/3-540-48071-4_34"},{"key":"23_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"546","DOI":"10.1007\/978-3-662-46706-0_28","volume-title":"Fast Software Encryption","author":"A Biryukov","year":"2015","unstructured":"Biryukov, A., Roy, A., Velichkov, V.: Differential analysis of block ciphers SIMON and SPECK. In: Cid, C., Rechberger, C. (eds.) FSE 2014. LNCS, vol. 8540, pp. 546\u2013570. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46706-0_28"},{"key":"23_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"450","DOI":"10.1007\/978-3-540-74735-2_31","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2007","author":"A Bogdanov","year":"2007","unstructured":"Bogdanov, A., et al.: PRESENT: an ultra-lightweight block cipher. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol. 4727, pp. 450\u2013466. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-74735-2_31"},{"key":"23_CR9","doi-asserted-by":"publisher","first-page":"203","DOI":"10.46586\/tosc.v2017.i2.203-227","volume":"2","author":"A Canteaut","year":"2017","unstructured":"Canteaut, A., Lambooij, E., Neves, S., Rasoolzadeh, S., Sasaki, Y., Stevens, M.: Refined probability of differential characteristics including dependency between multiple rounds. IACR Trans. Symm. Cryptol. 2, 203\u2013227 (2017)","journal-title":"IACR Trans. Symm. Cryptol."},{"key":"23_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1007\/3-540-60590-8_21","volume-title":"Fast Software Encryption","author":"J Daemen","year":"1995","unstructured":"Daemen, J., Govaerts, R., Vandewalle, J.: Correlation matrices. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 275\u2013285. Springer, Heidelberg (1995). https:\/\/doi.org\/10.1007\/3-540-60590-8_21"},{"key":"23_CR11","doi-asserted-by":"crossref","unstructured":"Daemen, J., Rijmen, V.: Plateau characteristics. IET Inf. Secur. 1(1), 11\u201317 (2007)","DOI":"10.1049\/iet-ifs:20060099"},{"key":"23_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/11935230_1","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2006","author":"C De Canni\u00e8re","year":"2006","unstructured":"De Canni\u00e8re, C., Rechberger, C.: Finding SHA-1 characteristics: general results and applications. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 1\u201320. Springer, Heidelberg (2006). https:\/\/doi.org\/10.1007\/11935230_1"},{"key":"23_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/978-3-319-13051-4_9","volume-title":"Selected Areas in Cryptography \u2013 SAC 2014","author":"I Dinur","year":"2014","unstructured":"Dinur, I.: Improved differential cryptanalysis of round-reduced speck. In: Joux, A., Youssef, A. (eds.) SAC 2014. LNCS, vol. 8781, pp. 147\u2013164. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-13051-4_9"},{"key":"23_CR14","unstructured":"Heys, H.M.: Key dependency of differentials: Experiments in the differential cryptanalysis of block ciphers using small S-boxes. ePrint, Report 2020\/1349 (2020)"},{"key":"23_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1007\/3-540-48071-4_35","volume-title":"Advances in Cryptology \u2014 CRYPTO\u2019 92","author":"LR Knudsen","year":"1993","unstructured":"Knudsen, L.R.: Iterative characteristics of DES and s2-DES. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 497\u2013511. Springer, Heidelberg (1993). https:\/\/doi.org\/10.1007\/3-540-48071-4_35"},{"key":"23_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1007\/3-540-46416-6_2","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201991","author":"X Lai","year":"1991","unstructured":"Lai, X., Massey, J.L., Murphy, S.: Markov ciphers and differential cryptanalysis. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 17\u201338. Springer, Heidelberg (1991). https:\/\/doi.org\/10.1007\/3-540-46416-6_2"},{"key":"23_CR17","unstructured":"Lee, H., Kim, S., Kang, H., Hong, D., Sung, J., Hong, S.: Calculating the approximate probability of differentials for ARX-based cipher using SAT solver. J. Korea Inst. Inf. Secur. Cryptol. 28(1), 15\u201324 (2018)"},{"key":"23_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1007\/978-3-642-34961-4_15","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2012","author":"G Leurent","year":"2012","unstructured":"Leurent, G.: Analysis of differential attacks in ARX constructions. In: Wang, X., Sako, K. (eds.) ASIACRYPT 2012. LNCS, vol. 7658, pp. 226\u2013243. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-34961-4_15"},{"key":"23_CR19","doi-asserted-by":"crossref","unstructured":"Liu, Y., et al.: The phantom of differential characteristics. Des. Codes Cryptogr. 88(11), 2289\u20132311 (2020)","DOI":"10.1007\/s10623-020-00782-3"},{"key":"23_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"386","DOI":"10.1007\/3-540-48285-7_33","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201993","author":"M Matsui","year":"1994","unstructured":"Matsui, M.: Linear cryptanalysis method for DES Cipher. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 386\u2013397. Springer, Heidelberg (1994). https:\/\/doi.org\/10.1007\/3-540-48285-7_33"},{"key":"23_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1007\/978-3-642-34961-4_13","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2012","author":"F Mendel","year":"2012","unstructured":"Mendel, F., Rijmen, V., Toz, D., Var\u0131c\u0131, K.: Differential analysis of the LED block cipher. In: Wang, X., Sako, K. (eds.) ASIACRYPT 2012. LNCS, vol. 7658, pp. 190\u2013207. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-34961-4_13"},{"key":"23_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1007\/3-540-45473-X_2","volume-title":"Fast Software Encryption","author":"E Biham","year":"2002","unstructured":"Biham, E., Dunkelman, O., Keller, N.: Linear cryptanalysis of reduced round serpent. In: Matsui, M. (ed.) FSE 2001. LNCS, vol. 2355, pp. 16\u201327. Springer, Heidelberg (2002). https:\/\/doi.org\/10.1007\/3-540-45473-X_2"},{"key":"23_CR23","doi-asserted-by":"crossref","unstructured":"Schulte-Geers, E.: On CCZ-equivalence of addition mod $$2^n$$. Des. Codes Cryptogr. 66(1\u20133), 111\u2013127 (2013)","DOI":"10.1007\/s10623-012-9668-4"},{"key":"23_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/978-3-319-40367-0_24","volume-title":"Information Security and Privacy","author":"L Song","year":"2016","unstructured":"Song, L., Huang, Z., Yang, Q.: Automatic differential analysis of ARX block ciphers with application to SPECK and LEA. In: Liu, J.K., Steinfeld, R. (eds.) ACISP 2016, Part II. LNCS, vol. 9723, pp. 379\u2013394. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-40367-0_24"},{"key":"23_CR25","doi-asserted-by":"crossref","unstructured":"Sun, L., Wang, W., Wang(66), M.: More accurate differential properties of LED64 and Midori64. IACR Trans. Symm. Cryptol. 2018(3), 93\u2013123 (2018)","DOI":"10.46586\/tosc.v2018.i3.93-123"},{"key":"23_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/11426639_2","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2005","author":"X Wang","year":"2005","unstructured":"Wang, X., Yu, H.: How to break MD5 and other hash functions. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 19\u201335. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/11426639_2"},{"key":"23_CR27","unstructured":"Xu, Z., Li, Y., Jiao, L., Wang, M., Meier, W.: Do NOT misuse the Markov cipher assumption\u2014automatic search for differential and impossible differential characteristics in ARX ciphers. ePrint, Report 2022\/135 (2022)"},{"key":"23_CR28","doi-asserted-by":"crossref","unstructured":"Zhang, W., Bao, Z., Lin, D., Rijmen, V., Yang, B., Verbauwhede, I.: RECTANGLE: a bit-slice lightweight block cipher suitable for multiple platforms. Sci. China Inf. Sci. 58(12), 1\u201315 (2015)","DOI":"10.1007\/s11432-015-5459-7"},{"key":"23_CR29","unstructured":"Zhang, W., Ding, T., Yang, B., Bao, Z., Xiang, Z., Ji, F., Zhao, X.: KNOT: Algorithm specifications and supporting document. Submission to NIST lightweight cryptography project (2019)"},{"key":"23_CR30","unstructured":"Zhang, W., Ding, T., Zhou, C., Ji, F.: Security analysis of KNOT-AEAD and KNOT-Hash. In: NIST Lightweight Cryptography Workshop (2020)"}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2013 CRYPTO 2022"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-15982-4_23","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:06:25Z","timestamp":1760133985000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-15982-4_23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783031159817","9783031159824"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-15982-4_23","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"12 October 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CRYPTO","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Annual International Cryptology Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Santa Barbara, CA","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 August 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18 August 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"42","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"crypto2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/crypto.iacr.org\/2022\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}