{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,25]],"date-time":"2026-07-25T20:12:03Z","timestamp":1785010323209,"version":"3.55.0"},"reference-count":14,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[1986,11,1]],"date-time":"1986-11-01T00:00:00Z","timestamp":531187200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[1986,11,1]],"date-time":"1986-11-01T00:00:00Z","timestamp":531187200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[1986,11,1]],"date-time":"1986-11-01T00:00:00Z","timestamp":531187200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[1986,11]]},"DOI":"10.1109\/tit.1986.1057242","type":"journal-article","created":{"date-parts":[[2004,4,27]],"date-time":"2004-04-27T14:27:04Z","timestamp":1083076024000},"page":"768-775","source":"Crossref","is-referenced-by-count":37,"title":["On the existence of optimum cyclic burst- correcting codes"],"prefix":"10.1109","volume":"32","author":[{"given":"K.","family":"Abdel-Ghaffar","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.","family":"McEliece","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Odlyzko","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"H.","family":"van Tilborg","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref10","volume":"539","author":"schmidt","year":"1976","journal-title":"Equations over Finite Fields"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1952-0051869-9"},{"key":"ref12","author":"hardy","year":"1983","journal-title":"An Introduction to the Theory of Numbers"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.2307\/2970367"},{"key":"ref14","article-title":"Factorizations of b<superscript>n<\/superscript> \ufffd 1, b = 2, 3, 5, 6, 7,10,11,12 up to High Powers","volume":"22","author":"brillhart","year":"1982","journal-title":"Contemporary Mathematics"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1962.1057667"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1959.1057524"},{"key":"ref6","author":"peterson","year":"1971","journal-title":"Error-Correcting Codes"},{"key":"ref5","author":"lucky","year":"1968","journal-title":"Principles of Data Communications"},{"key":"ref8","author":"blahut","year":"1983","journal-title":"Theory and Practice of Error Control Codes"},{"key":"ref7","author":"lin","year":"1979","journal-title":"Error Control Coding Fundamentals and Applications"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1960.1057558"},{"key":"ref1","article-title":"Error-correcting codes from linear sequential circuits","author":"abramson","year":"1960","journal-title":"4th Symp on Information Theory"},{"key":"ref9","author":"lidl","year":"1983","journal-title":"Finite Fields"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/22757\/01057242.pdf?arnumber=1057242","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,21]],"date-time":"2025-07-21T18:07:57Z","timestamp":1753121277000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/1057242\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,11]]},"references-count":14,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tit.1986.1057242","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,11]]}}}