{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T12:11:59Z","timestamp":1773231119301,"version":"3.50.1"},"reference-count":13,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1979,11,1]],"date-time":"1979-11-01T00:00:00Z","timestamp":310262400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,18]],"date-time":"2013-07-18T00:00:00Z","timestamp":1374105600000},"content-version":"vor","delay-in-days":12313,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information and Control"],"published-print":{"date-parts":[[1979,11]]},"DOI":"10.1016\/s0019-9958(79)90708-3","type":"journal-article","created":{"date-parts":[[2004,12,15]],"date-time":"2004-12-15T09:12:12Z","timestamp":1103101932000},"page":"202-215","source":"Crossref","is-referenced-by-count":83,"title":["On the cycle structure of some nonlinear shift register sequences"],"prefix":"10.1016","volume":"43","author":[{"given":"Johannes","family":"Mykkeltveit","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Man-Keung","family":"Siu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Po","family":"Tong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0019-9958(79)90708-3_bib1","series-title":"Shift Register Sequences","author":"Golomb","year":"1967"},{"key":"10.1016\/S0019-9958(79)90708-3_bib2","series-title":"Digital Communications with Space Applications","author":"Golomb","year":"1964"},{"key":"10.1016\/S0019-9958(79)90708-3_bib3","first-page":"681","article-title":"Nonlinear product-feedback shift registers","volume":"117","author":"Green","year":"1970"},{"key":"10.1016\/S0019-9958(79)90708-3_bib4","first-page":"1750","article-title":"Some polynomial compositions of nonlinear feedback shift registers and their sequence-domain consequences","volume":"117","author":"Green","year":"1970"},{"key":"10.1016\/S0019-9958(79)90708-3_bib5","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/0097-3165(76)90013-3","article-title":"On the cycle structure of a set of nonlinear shift registers with symmetric feedback functions","volume":"20","author":"Kjeldsen","year":"1976","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/S0019-9958(79)90708-3_bib6","doi-asserted-by":"crossref","first-page":"1204","DOI":"10.1109\/T-C.1970.222859","article-title":"On a homomorphism of the de Bruijn graph and its applications to the design of feedback shift registers","volume":"C-19","author":"Lempel","year":"1970","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0019-9958(79)90708-3_bib7","article-title":"Generalization of a theorem on linear recurrence to the nonlinear case","author":"Mykkeltveit","year":"1976"},{"key":"10.1016\/S0019-9958(79)90708-3_bib8","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/S0019-9958(77)80001-6","article-title":"Nonlinear recurrences and arithmetic code","volume":"33","author":"Mykkeltveit","year":"1977","journal-title":"Inform. Contr."},{"key":"10.1016\/S0019-9958(79)90708-3_bib9","article-title":"Linear recurrence relations over finite fields","author":"Selmer","year":"1966"},{"key":"10.1016\/S0019-9958(79)90708-3_bib10","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/0097-3165(76)90061-3","article-title":"The periods of the sequences generated by some symmetric shift registers","volume":"21","author":"S\u00f8reng","year":"1976","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/S0019-9958(79)90708-3_bib11","article-title":"The periods of the sequences generated by some symmetric shift registers, II","author":"S\u00f8reng","year":"1977"},{"key":"10.1016\/S0019-9958(79)90708-3_bib12","article-title":"Symmetric Shift Registers","author":"S\u00f8reng","year":"1978"},{"key":"10.1016\/S0019-9958(79)90708-3_bib13","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1137\/0107003","article-title":"Linear recurring sequences","volume":"7","author":"Zierler","year":"1959","journal-title":"J. Soc. Ind. Appl. Math."}],"container-title":["Information and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0019995879907083?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0019995879907083?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,31]],"date-time":"2019-01-31T13:54:46Z","timestamp":1548942886000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0019995879907083"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,11]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1979,11]]}},"alternative-id":["S0019995879907083"],"URL":"https:\/\/doi.org\/10.1016\/s0019-9958(79)90708-3","relation":{},"ISSN":["0019-9958"],"issn-type":[{"value":"0019-9958","type":"print"}],"subject":[],"published":{"date-parts":[[1979,11]]}}}