{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,22]],"date-time":"2026-03-22T13:53:41Z","timestamp":1774187621011,"version":"3.50.1"},"reference-count":31,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2020,8]]},"DOI":"10.1109\/tit.2020.2987794","type":"journal-article","created":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T21:31:06Z","timestamp":1586899866000},"page":"5167-5181","source":"Crossref","is-referenced-by-count":8,"title":["Absolute Maximum Nonlinear Functions on Finite Nonabelian Groups"],"prefix":"10.1109","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8543-3128","authenticated-orcid":false,"given":"Bangteng","family":"Xu","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.03.033"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-014-9968-y"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-016-0312-6"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1515\/9783110809237"},{"key":"ref12","article-title":"Character theory of finite groups","volume":"69","author":"isaacs","year":"1976","journal-title":"Communication Pure Application Math"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(85)90049-4"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-46877-3_35"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1515\/dma.1997.7.6.547"},{"key":"ref16","first-page":"212","article-title":"SAFER K-64: One year later","author":"massey","year":"1994","journal-title":"Proc Fast Softw Encryption Int Work-Shop"},{"key":"ref17","first-page":"1","article-title":"SAFER K-64: A byte-oriented block-ciphering algorithm","author":"massey","year":"1993","journal-title":"Fast Software Encryption Cambridge Security Workshop"},{"key":"ref18","author":"nagao","year":"1989","journal-title":"Representation Theory of Finite Groups"},{"key":"ref19","article-title":"On the construction of highly nonlinear permutations","volume":"658","author":"nyberg","year":"1993","journal-title":"Advances in Cryptology"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1134\/S1990478911010133"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2003.08.008"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1515\/dma-2002-0203"},{"key":"ref3","author":"beth","year":"1999","journal-title":"Design Theory"},{"key":"ref6","article-title":"Elementary Hadamard difference sets","author":"dillon","year":"1974"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2015.08.007"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/18.42198"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-017-0439-0"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-007-9137-7"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/18.959271"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-016-0177-8"},{"key":"ref1","article-title":"Groups and representations","volume":"162","author":"alperin","year":"1997","journal-title":"GTM"},{"key":"ref20","first-page":"1","article-title":"Group actions based perfect nonlinearity","volume":"12","author":"poinsot","year":"2005","journal-title":"GESTS Int Trans Comput Sci Eng"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-011-0058-y"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1080\/09720529.2006.10698084"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(03)00293-2"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1142\/S0129054111008751"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/S1571-0653(04)00206-9"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(76)90024-8"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9141502\/09067039.pdf?arnumber=9067039","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T17:24:10Z","timestamp":1651080250000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9067039\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8]]},"references-count":31,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2020.2987794","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8]]}}}