{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T12:12:09Z","timestamp":1773231129137,"version":"3.50.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2011,9]]},"abstract":"<jats:p>The purpose of this paper is to present extended definitions and characterizations of the classical notions of APN and maximum nonlinear Boolean functions to deal with the case of mappings from a finite group K to another one N with the possibility that one or both groups are non-Abelian.<\/jats:p>","DOI":"10.1142\/s0129054111008751","type":"journal-article","created":{"date-parts":[[2011,9,12]],"date-time":"2011-09-12T13:56:16Z","timestamp":1315835776000},"page":"1351-1367","source":"Crossref","is-referenced-by-count":19,"title":["NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS"],"prefix":"10.1142","volume":"22","author":[{"given":"LAURENT","family":"POINSOT","sequence":"first","affiliation":[{"name":"LIPN - UMR CNRS 7030, Institut Galil\u00e9e, University Paris XIII, 99, avenue Jean-Baptiste Clment, 93430 Villetaneuse, France"}]},{"given":"ALEXANDER","family":"POTT","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Otto-von-Guericke- University Magdeburg, 39106 Magdeburg, Germany"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-009-9318-7"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00630563"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2007.11.002"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.920246"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.928275"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511780448.012"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2003.08.008"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(92)90034-D"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2005.10.006"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862128"},{"key":"rf15","doi-asserted-by":"crossref","first-page":"59","DOI":"10.3934\/amc.2009.3.59","volume":"3","author":"Edel Y.","journal-title":"Adv. Math. Commun."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2009.11.004"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1145\/1358190.1358201"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/BF01390771"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(03)00293-2"},{"key":"rf24","volume-title":"Repr\u00e9sentations lin\u00e9aires des groupes finis","author":"Serre J.-P.","year":"1967"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-007-9057-6"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2008.09.002"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054111008751","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,23]],"date-time":"2020-06-23T17:27:36Z","timestamp":1592933256000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054111008751"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9]]},"references-count":19,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2011,9]]}},"alternative-id":["10.1142\/S0129054111008751"],"URL":"https:\/\/doi.org\/10.1142\/s0129054111008751","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9]]}}}