{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:52:54Z","timestamp":1757314374974,"version":"3.41.2"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"name":"the Portuguese Foundation for Science and Technology","award":["UIDB\/04106\/2020"],"award-info":[{"award-number":["UIDB\/04106\/2020"]}]},{"name":"the Portuguese Foundation for Science and Technology","award":["UIDP\/04106\/2020"],"award-info":[{"award-number":["UIDP\/04106\/2020"]}]},{"name":"FCT","award":["UI\/BD\/151186\/2021"],"award-info":[{"award-number":["UI\/BD\/151186\/2021"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Algebra Appl."],"published-print":{"date-parts":[[2024,6]]},"abstract":"<jats:p> Maximum distance separable convolutional codes are characterized by the property that the free distance reaches the generalized Singleton bound, which makes them optimal for error correction. However, the existing constructions of such codes are available over fields of large size. In this paper, we present the unique construction of MDS convolutional codes of rate [Formula: see text] and degree [Formula: see text] over the field [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s021949882450227x","type":"journal-article","created":{"date-parts":[[2023,6,6]],"date-time":"2023-06-06T17:41:09Z","timestamp":1686073269000},"source":"Crossref","is-referenced-by-count":1,"title":["A new construction of an MDS convolutional code of rate 1\/2"],"prefix":"10.1142","volume":"23","author":[{"given":"Zita","family":"Abreu","sequence":"first","affiliation":[{"name":"CIDMA \u2013 Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal"}]},{"given":"Raquel","family":"Pinto","sequence":"additional","affiliation":[{"name":"CIDMA \u2013 Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal"}]},{"given":"Rita","family":"Sim\u00f5es","sequence":"additional","affiliation":[{"name":"CIDMA \u2013 Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2023,6,27]]},"reference":[{"key":"S021949882450227XBIB001","doi-asserted-by":"publisher","DOI":"10.1109\/9780470544693"},{"key":"S021949882450227XBIB002","first-page":"197","volume-title":"Concise Encyclopedia of Coding Theory","author":"Lieb J.","year":"2021"},{"key":"S021949882450227XBIB003","doi-asserted-by":"publisher","DOI":"10.1109\/18.930938"},{"key":"S021949882450227XBIB004","doi-asserted-by":"publisher","DOI":"10.13069\/jacodesmath.645029"},{"key":"S021949882450227XBIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s002000050120"},{"key":"S021949882450227XBIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055436"},{"key":"S021949882450227XBIB007","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.1998.706461"},{"key":"S021949882450227XBIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498806001855"}],"container-title":["Journal of Algebra and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021949882450227X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,25]],"date-time":"2024-06-25T00:42:28Z","timestamp":1719276148000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S021949882450227X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,27]]},"references-count":8,"journal-issue":{"issue":"07","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["10.1142\/S021949882450227X"],"URL":"https:\/\/doi.org\/10.1142\/s021949882450227x","relation":{},"ISSN":["0219-4988","1793-6829"],"issn-type":[{"type":"print","value":"0219-4988"},{"type":"electronic","value":"1793-6829"}],"subject":[],"published":{"date-parts":[[2023,6,27]]},"article-number":"2450227"}}