{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,12,7]],"date-time":"2022-12-07T05:58:03Z","timestamp":1670392683285},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2022,11]]},"abstract":"<jats:p> Recently, a number of researches studied relationship between codes and BCK-algebras, dealing with the category codes in a BCK-algebra have not been considered in earlier works. This paper investigates a code constructed by a BCK-algebra and also a BCK-algebra constructed based on code. The suggested rendered algorithm constructs the code based on BCK-algebra, the fixed dimension of this code is guaranteed by a BCK-algebra with some condition. We introduce the category of linear codes and denoted by [Formula: see text]. In addition, a subcategory of BCK-algebra is described and denoted by [Formula: see text]. Finally, we prove that [Formula: see text] is equivalent to [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793005722500417","type":"journal-article","created":{"date-parts":[[2021,10,25]],"date-time":"2021-10-25T07:57:05Z","timestamp":1635148625000},"page":"871-887","source":"Crossref","is-referenced-by-count":0,"title":["On Category of Linear Codes"],"prefix":"10.1142","volume":"18","author":[{"given":"N.","family":"Keshavarzian","sequence":"first","affiliation":[{"name":"Department of Mathematics, Science and Research Branch, Islamic, Azad University (IAU), Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Borumand Saeid","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid, Bahonar University of Kerman, Kerman, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Tehranian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Science and Research Branch, Islamic, Azad University (IAU), Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,11,13]]},"reference":[{"key":"S1793005722500417BIB001","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"S1793005722500417BIB002","volume-title":"Error Control Coding","author":"Lin S.","year":"2004","edition":"2"},{"key":"S1793005722500417BIB003","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1950.tb00463.x"},{"key":"S1793005722500417BIB004","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1958-0094302-9"},{"key":"S1793005722500417BIB005","first-page":"42","volume":"22","author":"Borumand Saeid A.","year":"2018","journal-title":"Soft Comput."},{"issue":"4","key":"S1793005722500417BIB006","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.3233\/IFS-141469","volume":"28","author":"Flaut C.","year":"2015","journal-title":"J. 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