{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,31]],"date-time":"2026-05-31T04:00:51Z","timestamp":1780200051626,"version":"3.54.0"},"publisher-location":"Cham","reference-count":23,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783032275738","type":"print"},{"value":"9783032275745","type":"electronic"}],"license":[{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026]]},"DOI":"10.1007\/978-3-032-27574-5_12","type":"book-chapter","created":{"date-parts":[[2026,5,31]],"date-time":"2026-05-31T03:05:16Z","timestamp":1780196716000},"page":"184-198","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A New Construction of\u00a0Locally-APN Functions on\u00a0$$\\mathbb {F}_2^{2m}$$ Using Spreads and\u00a0Sidon Sets"],"prefix":"10.1007","author":[{"given":"Christian","family":"Kaspers","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander","family":"Pott","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,5,31]]},"reference":[{"issue":"4","key":"12_CR1","doi-asserted-by":"publisher","first-page":"1081","DOI":"10.1007\/s10623-022-01029-z","volume":"90","author":"N Anbar","year":"2022","unstructured":"Anbar, N., Meidl, W.: Bent partitions. Des. Codes Cryptogr. 90(4), 1081\u20131101 (2022). https:\/\/doi.org\/10.1007\/s10623-022-01029-z","journal-title":"Des. Codes Cryptogr."},{"key":"12_CR2","unstructured":"Beierle, C., Langevin, P., Leander, G., Polujan, A., Rasoolzadeh, S.: Millions of inequivalent quadratic APN functions in eight variables (2025). arXiv: 2508.04644 [math.CO]"},{"key":"12_CR3","doi-asserted-by":"publisher","unstructured":"Biliotti, M., Jha, V., Johnson, N.L.: Foundations of Translation Planes. Monographs and Textbooks in Pure and Applied Mathematics, vol. 243, pp. xvi+542. Marcel Dekker, Inc., New York (2001). https:\/\/doi.org\/10.1201\/9781482271003","DOI":"10.1201\/9781482271003"},{"issue":"2","key":"12_CR4","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1504\/IJICOT.2010.032132","volume":"1","author":"C Blondeau","year":"2010","unstructured":"Blondeau, C., Canteaut, A., Charpin, P.: Differential properties of power functions. Int. J. Inf. Coding Theory 1(2), 149\u2013170 (2010). https:\/\/doi.org\/10.1504\/IJICOT.2010.032132","journal-title":"Int. J. Inf. Coding Theory"},{"issue":"12","key":"12_CR5","doi-asserted-by":"publisher","first-page":"8127","DOI":"10.1109\/TIT.2011.2169129","volume":"57","author":"C Blondeau","year":"2011","unstructured":"Blondeau, C., Canteaut, A., Charpin, P.: Differential properties of $$x \\mapsto x^{2^t-1}$$. IEEE Trans. Inform. Theory 57(12), 8127\u20138137 (2011). https:\/\/doi.org\/10.1109\/TIT.2011.2169129","journal-title":"IEEE Trans. Inform. Theory"},{"key":"12_CR6","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.ffa.2014.10.007","volume":"32","author":"C Blondeau","year":"2015","unstructured":"Blondeau, C., Nyberg, K.: Perfect nonlinear functions and cryptography. Finite Fields Appl. 32, 120\u2013147 (2015). https:\/\/doi.org\/10.1016\/j.ffa.2014.10.007","journal-title":"Finite Fields Appl."},{"key":"12_CR7","doi-asserted-by":"publisher","unstructured":"Carlet, C.: Boolean Functions for Cryptography and Coding Theory, pp. xiv+562 Cambridge University Press, Cambridge (2020). https:\/\/doi.org\/10.1017\/9781108606806","DOI":"10.1017\/9781108606806"},{"key":"12_CR8","doi-asserted-by":"publisher","unstructured":"Carlet, C.: On APN functions whose graphs are maximal Sidon sets. In: LATIN 2022: Theoretical Informatics. LNCS, vol. 13568, pp. 243\u2013254. Springer, Cham (2022). https:\/\/doi.org\/10.1007\/978-3-031-20624-5_15","DOI":"10.1007\/978-3-031-20624-5_15"},{"issue":"1","key":"12_CR9","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1007\/s10801-020-00988-7","volume":"55","author":"C Carlet","year":"2022","unstructured":"Carlet, C., Mesnager, S.: On those multiplicative subgroups of $$\\mathbb{F}_{2^n}^*$$ which are Sidon sets and\/or sum-free sets. J. Algebraic Combin. 55(1), 43\u201359 (2022). https:\/\/doi.org\/10.1007\/s10801-020-00988-7","journal-title":"J. Algebraic Combin."},{"issue":"4","key":"12_CR10","doi-asserted-by":"publisher","first-page":"579","DOI":"10.3934\/amc.2019036","volume":"13","author":"P Charpin","year":"2019","unstructured":"Charpin, P., Peng, J.: Differential uniformity and the associated codes of cryptographic functions. Adv. Math. Commun. 13(4), 579\u2013600 (2019). https:\/\/doi.org\/10.3934\/amc.2019036","journal-title":"Adv. Math. Commun."},{"issue":"2","key":"12_CR11","doi-asserted-by":"publisher","first-page":"549","DOI":"10.3934\/amc.2023054","volume":"18","author":"I Czerwinski","year":"2024","unstructured":"Czerwinski, I., Pott, A.: Sidon sets, sum-free sets and linear codes. Adv. Math. Commun. 18(2), 549\u2013566 (2024). https:\/\/doi.org\/10.3934\/amc.2023054","journal-title":"Adv. Math. Commun."},{"key":"12_CR12","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/j.jcta.2025.106129","volume":"220","author":"I Czerwinski","year":"2026","unstructured":"Czerwinski, I., Pott, A.: On large Sidon sets. J. Combin. Theory Ser. A 220, 15 (2026). https:\/\/doi.org\/10.1016\/j.jcta.2025.106129. Paper No. 106129","journal-title":"J. Combin. Theory Ser. A"},{"key":"12_CR13","unstructured":"Dillon, J.F.: Elementary Hadamard difference-sets. Thesis (Ph.D.)\u2013University of Maryland, College Park. ProQuest LLC, Ann Arbor, MI, p. 126 (1974)"},{"issue":"5","key":"12_CR14","doi-asserted-by":"publisher","first-page":"1695","DOI":"10.1007\/s10623-022-01161-w","volume":"91","author":"Z Hu","year":"2023","unstructured":"Hu, Z., Li, N., Xu, L., Zeng, X., Tang, X.: The differential spectrum and boomerang spectrum of a class of locally-APN functions. Des. Codes Cryptogr. 91(5), 1695\u20131711 (2023). https:\/\/doi.org\/10.1007\/s10623-022-01161-w","journal-title":"Des. Codes Cryptogr."},{"key":"12_CR15","unstructured":"Lavrauw, M., Polverino, O.: Finite semifields. In: Storme, L., De Beule, J., (eds.) Current Research Topics in Galois Geometry. Mathematics Research Developments. Nova Science, pp. 127\u2013155 (2011 )"},{"issue":"2","key":"12_CR16","doi-asserted-by":"publisher","first-page":"1436","DOI":"10.1109\/tit.2023.3313148","volume":"70","author":"K Li","year":"2024","unstructured":"Li, K., Kaleyski, N.: Two new infinite families of APN functions in trivariate form. IEEE Trans. Inform. Theory 70(2), 1436\u20131452 (2024). https:\/\/doi.org\/10.1109\/tit.2023.3313148","journal-title":"IEEE Trans. Inform. Theory"},{"key":"12_CR17","doi-asserted-by":"publisher","unstructured":"Mesnager, S.: Bent Functions. Fundamentals and Results. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-32595-8","DOI":"10.1007\/978-3-319-32595-8"},{"key":"12_CR18","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.jcta.2024.106001","volume":"212","author":"GP Nagy","year":"2025","unstructured":"Nagy, G.P.: Sidon sets, thin sets, and the nonlinearity of vectorial Boolean functions. J. Combin. Theory Ser. A 212, 21 (2025). https:\/\/doi.org\/10.1016\/j.jcta.2024.106001. Paper No. 106001","journal-title":"J. Combin. Theory Ser. A"},{"key":"12_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/3-540-48285-7_6","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201993","author":"K Nyberg","year":"1994","unstructured":"Nyberg, K.: Differentially uniform mappings for cryptography. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 55\u201364. Springer, Heidelberg (1994). https:\/\/doi.org\/10.1007\/3-540-48285-7_6"},{"issue":"1","key":"12_CR20","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/s10623-015-0151-x","volume":"78","author":"A Pott","year":"2016","unstructured":"Pott, A.: Almost perfect and planar functions. Des. Codes Cryptogr. 78(1), 141\u2013195 (2016). https:\/\/doi.org\/10.1007\/s10623-015-0151-x","journal-title":"Des. Codes Cryptogr."},{"key":"12_CR21","unstructured":"Thornburgh, D.: Uniform exclude distributions of Sidon sets (2024) arXiv: 2407.11783 [math.CO]"},{"key":"12_CR22","unstructured":"Thornburgh, D.: On generalizing cryptographic results to Sidon sets in $$\\mathbb{F}_2^n$$ (2025). arXiv: 2501.11184 [math.CO]"},{"issue":"6","key":"12_CR23","doi-asserted-by":"publisher","first-page":"4056","DOI":"10.1109\/tit.2022.3232362","volume":"69","author":"X Xie","year":"2023","unstructured":"Xie, X., Mesnager, S., Li, N., He, D., Zeng, X.: On the Niho type locally-APN power functions and their boomerang spectrum. IEEE Trans. Inform. Theory 69(6), 4056\u20134064 (2023). https:\/\/doi.org\/10.1109\/tit.2022.3232362","journal-title":"IEEE Trans. Inform. Theory"}],"container-title":["Lecture Notes in Computer Science","Arithmetic of Finite Fields"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-27574-5_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,31]],"date-time":"2026-05-31T03:05:20Z","timestamp":1780196720000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-27574-5_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"ISBN":["9783032275738","9783032275745"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-27574-5_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]},"assertion":[{"value":"31 May 2026","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WAIFI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on the Arithmetic of Finite Fields","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Santander","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2026","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 June 2026","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 June 2026","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"waifi2026","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.waifi.org\/2026\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}