{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:34:03Z","timestamp":1753882443864,"version":"3.41.2"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100005276","name":"National Board for Higher Mathematics","doi-asserted-by":"publisher","award":["02011\/7\/2019 NBHM(R.P)\/R&D II\/1975"],"award-info":[{"award-number":["02011\/7\/2019 NBHM(R.P)\/R&D II\/1975"]}],"id":[{"id":"10.13039\/501100005276","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,8]]},"abstract":"<jats:p> In this paper, we have constructed some new codes from [Formula: see text]-Simplex code called unit [Formula: see text]-Simplex code. In particular, we find the parameters of these codes and have proved that it is a [Formula: see text] [Formula: see text]-linear code, where [Formula: see text] and [Formula: see text] is a smallest prime divisor of [Formula: see text]. When rank [Formula: see text] and [Formula: see text] is a prime power, we have given the weight distribution of unit [Formula: see text]-Simplex code. For the rank [Formula: see text] we obtain the partial weight distribution of unit [Formula: see text]-Simplex code when [Formula: see text] is a prime power. Further, we derive the weight distribution of unit [Formula: see text]-Simplex code for the rank [Formula: see text] [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830922500124","type":"journal-article","created":{"date-parts":[[2021,9,7]],"date-time":"2021-09-07T03:19:11Z","timestamp":1630984751000},"source":"Crossref","is-referenced-by-count":2,"title":["On some punctured codes of \u2124q-Simplex codes"],"prefix":"10.1142","volume":"14","author":[{"given":"J.","family":"Prabu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India"}]},{"given":"J.","family":"Mahalakshmi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India"}]},{"given":"C.","family":"Durairajan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bharathidasan University, Tiruchirappalli, India"}]},{"given":"S.","family":"Santhakumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India"}]}],"member":"219","published-online":{"date-parts":[[2021,9,6]]},"reference":[{"key":"S1793830922500124BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-6193-4"},{"volume-title":"Covering Codes","year":"1997","author":"Cohen G.","key":"S1793830922500124BIB002"},{"key":"S1793830922500124BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2015.09.001"},{"issue":"2","key":"S1793830922500124BIB004","first-page":"125","volume":"15","author":"Durairajan C.","year":"2015","journal-title":"Adv. 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