{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,19]],"date-time":"2026-09-19T17:21:08Z","timestamp":1789838468907,"version":"4.0.1"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2023,3,1]],"date-time":"2023-03-01T00:00:00Z","timestamp":1677628800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,3,1]],"date-time":"2023-03-01T00:00:00Z","timestamp":1677628800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Up to a new invariant <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mu (b)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mi>\u03bc<\/mml:mi>\n                    <mml:mo>(<\/mml:mo>\n                    <mml:mi>b<\/mml:mi>\n                    <mml:mo>)<\/mml:mo>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, the complete <jats:italic>b<\/jats:italic>-symbol weight distribution of a particular kind of two-weight irreducible cyclic codes, was recently obtained by Zhu et al. (Des Codes Cryptogr 90(5):1113\u20131125, 2022). The purpose of this paper is to simplify and generalize the results of Zhu et al., and obtain the <jats:italic>b<\/jats:italic>-symbol weight distributions of all one-weight and two-weight semiprimitive irreducible cyclic codes.<\/jats:p>","DOI":"10.1007\/s10623-023-01193-w","type":"journal-article","created":{"date-parts":[[2023,3,1]],"date-time":"2023-03-01T15:03:48Z","timestamp":1677683028000},"page":"2213-2221","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["The b-symbol weight distributions of all semiprimitive irreducible cyclic codes"],"prefix":"10.1007","volume":"91","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4957-6575","authenticated-orcid":false,"given":"Gerardo","family":"Vega","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,3,1]]},"reference":[{"issue":"5","key":"1193_CR1","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1109\/TIT.1975.1055435","volume":"21","author":"P Delsarte","year":"1975","unstructured":"Delsarte P.: On subfield subcodes of Reed\u2013Solomon codes. 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