{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:11:09Z","timestamp":1759335069766,"version":"build-2065373602"},"reference-count":34,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12271249"],"award-info":[{"award-number":["12271249"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Foundation of Key Laboratory of Financial Mathematics of Fujian Province University","award":["JR202202"],"award-info":[{"award-number":["JR202202"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:p> With the advantage of transmitting messages efficiently along with switching frequencies at set intervals by each user, frequency-hopping sequence (FHS) has been widely applied in the frequency-hopping multiple access spread spectrum systems. In such systems, the Hamming correlation property of FHS is an important standard to measure the system performance. In this paper, a combinatorial description of difference-balanced function from [Formula: see text] onto [Formula: see text] is given, and the sizes of its preimage sets are determined without resorting to d-homogeneous property, where m and n are two positive integers with [Formula: see text]. Afterwards, we construct new near-optimal FHSs and optimal FHS sets by virtue of the Chinese Remainder Theorem and d-homogeneous functions with difference-balanced property, which generalize some earlier constructions of optimal FHS sets and produce optimal FHS sets which are not covered in the foregoing literature. <\/jats:p>","DOI":"10.1142\/s0129054125500017","type":"journal-article","created":{"date-parts":[[2025,1,29]],"date-time":"2025-01-29T21:39:23Z","timestamp":1738186763000},"page":"921-937","source":"Crossref","is-referenced-by-count":0,"title":["New Families of Frequency-Hopping Sequence Sets with Optimal Hamming Correlation"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7242-1352","authenticated-orcid":false,"given":"Shanding","family":"Xu","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, P.\u00a0R.\u00a0China"},{"name":"Key Laboratory of Financial Mathematics (Putian University), Fujian Province University, Putian 351100, P.\u00a0R.\u00a0China"}]}],"member":"219","published-online":{"date-parts":[[2025,1,29]]},"reference":[{"key":"S0129054125500017BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2589258"},{"key":"S0129054125500017BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2675441"},{"key":"S0129054125500017BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-016-0220-9"},{"key":"S0129054125500017BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2315207"},{"key":"S0129054125500017BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2032742"},{"key":"S0129054125500017BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2112235"},{"key":"S0129054125500017BIB007","doi-asserted-by":"publisher","DOI":"10.1049\/iet-com.2012.0144"},{"key":"S0129054125500017BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.899545"},{"key":"S0129054125500017BIB009","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.926410"},{"volume-title":"Sequence Design for Communications Applications","year":"1996","author":"Fan P.","key":"S0129054125500017BIB010"},{"key":"S0129054125500017BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.834783"},{"key":"S0129054125500017BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.2009856"},{"key":"S0129054125500017BIB013","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546907"},{"key":"S0129054125500017BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2006.04.025"},{"key":"S0129054125500017BIB015","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.804052"},{"key":"S0129054125500017BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/18.370143"},{"key":"S0129054125500017BIB017","doi-asserted-by":"publisher","DOI":"10.1109\/49.56388"},{"key":"S0129054125500017BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/18.2616"},{"key":"S0129054125500017BIB019","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055169"},{"volume-title":"Finite Fields","year":"1997","author":"Lidl R.","key":"S0129054125500017BIB020"},{"issue":"9","key":"S0129054125500017BIB021","first-page":"2437","volume":"29","author":"Liu F.","year":"2009","journal-title":"J. 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