{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:30:39Z","timestamp":1753882239217,"version":"3.41.2"},"reference-count":29,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"the Youth Fundamental of Shandong Natural Science Foundation","award":["ZR2022QA067"],"award-info":[{"award-number":["ZR2022QA067"]}]},{"name":"R&D Program of Beijing Municipal Education Commission","award":["KM202310037002"],"award-info":[{"award-number":["KM202310037002"]}]},{"name":"Youth Scientific Research Fund of Beijing Wuzi University","award":["2022XJQN25"],"award-info":[{"award-number":["2022XJQN25"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2025,4]]},"abstract":"<jats:p> Let [Formula: see text] be a finite field of cardinality [Formula: see text], where [Formula: see text] is a power of a prime and [Formula: see text] is a prime integer. An [Formula: see text]-linear code over [Formula: see text] of length [Formula: see text] is an [Formula: see text]-subspace of [Formula: see text]. If an [Formula: see text]-linear code over [Formula: see text] with parameters [Formula: see text] meets the Singleton bound, i.e., [Formula: see text], then it is called an MDS code. In this paper, by use of a Fourier matrix and a canonical form decomposition of constacyclic [Formula: see text]-linear codes over [Formula: see text], we construct some optimal [Formula: see text]-linear codes over [Formula: see text] which have the same parameters as the MDS codes over [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830924500496","type":"journal-article","created":{"date-parts":[[2024,4,26]],"date-time":"2024-04-26T07:54:29Z","timestamp":1714118069000},"source":"Crossref","is-referenced-by-count":0,"title":["Some optimal \ud835\udd3dq-linear codes over \ud835\udd3dql"],"prefix":"10.1142","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5829-5671","authenticated-orcid":false,"given":"Juan","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Linyi University, Linyi 276000, Shandong, China"}]},{"given":"Yun","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Statistics and Data Science, Beijng Wuzi University, Beijing 101149, China"}]}],"member":"219","published-online":{"date-parts":[[2024,5,29]]},"reference":[{"key":"S1793830924500496BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/18.485722"},{"key":"S1793830924500496BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/18.746771"},{"key":"S1793830924500496BIB003","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"S1793830924500496BIB004","doi-asserted-by":"publisher","DOI":"10.1147\/rd.282.0124"},{"key":"S1793830924500496BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/12.123405"},{"key":"S1793830924500496BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/18.681315"},{"key":"S1793830924500496BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2014.10.003"},{"key":"S1793830924500496BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-015-0257-4"},{"key":"S1793830924500496BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-014-9994-9"},{"key":"S1793830924500496BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2748955"},{"issue":"12","key":"S1793830924500496BIB011","first-page":"47","volume":"45","author":"Cardell S. 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