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Boolean function is the basic component of symmetric encryption algorithm, and its many cryptographic properties are important indicators to measure the security of cryptographic algorithm. This paper focuses on the sum-of-squares indicator of Boolean function; an upper bound and a lower bound of the sum-of-squares on Boolean functions are obtained by the decomposition Boolean functions; some properties and a search algorithm of Boolean functions with the same autocorrelation (or cross-correlation) distribution are given. Finally, a construction method to obtain a balanced Boolean function with small sum-of-squares indicator is derived by decomposition Boolean functions. Compared with the known balanced Boolean functions, the constructed functions have the higher nonlinearity and the better global avalanche characteristics property.<\/jats:p>","DOI":"10.1155\/2019\/1348639","type":"journal-article","created":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T23:30:40Z","timestamp":1553729440000},"page":"1-15","source":"Crossref","is-referenced-by-count":2,"title":["Measuring the Sum-of-Squares Indicator of Boolean Functions in Encryption Algorithm for Internet of Things"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1777-9439","authenticated-orcid":true,"given":"Yu","family":"Zhou","sequence":"first","affiliation":[{"name":"Science and Technology on Communication Security Laboratory, Chengdu 610041, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongzhuang","family":"Wei","sequence":"additional","affiliation":[{"name":"Department of Communication and Information Engineering, Guilin University of Electronic Technology, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fengrong","family":"Zhang","sequence":"additional","affiliation":[{"name":"China University of Mining Technology School of Computer Science and Technology, Xuzhou 221116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"April 2011","key":"1"},{"journal-title":"Trend Analysis","year":"2011","key":"2"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45539-6_36"},{"issue":"5","key":"15","first-page":"320","volume":"1","year":"1995","journal-title":"The Journal of Universal Computer Science"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39200-9_21"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-019-00604-1"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0190(98)00009-X"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0190(98)00184-7"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.09.012"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-011-9587-9"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2009.2032736"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2013.7.335"},{"issue":"3","key":"21","first-page":"91","volume":"23","year":"2016","journal-title":"Journal of Harbin Institute of Technology (New Series)"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2012.712689"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s00224-001-1019-1"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2795608"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(01)00193-5"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0190(00)00221-0"}],"container-title":["Security and Communication Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/scn\/2019\/1348639.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/scn\/2019\/1348639.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/scn\/2019\/1348639.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T04:03:38Z","timestamp":1590033818000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/scn\/2019\/1348639\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,27]]},"references-count":18,"alternative-id":["1348639","1348639"],"URL":"https:\/\/doi.org\/10.1155\/2019\/1348639","relation":{},"ISSN":["1939-0114","1939-0122"],"issn-type":[{"type":"print","value":"1939-0114"},{"type":"electronic","value":"1939-0122"}],"subject":[],"published":{"date-parts":[[2019,3,27]]}}}