{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T08:36:22Z","timestamp":1776760582429,"version":"3.51.2"},"reference-count":7,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1990,9,1]],"date-time":"1990-09-01T00:00:00Z","timestamp":652147200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[1990,9]]},"DOI":"10.1007\/bf01810295","type":"journal-article","created":{"date-parts":[[2005,6,27]],"date-time":"2005-06-27T21:54:02Z","timestamp":1119909242000},"page":"119-124","source":"Crossref","is-referenced-by-count":14,"title":["An enumeration formula for certain irreducible polynomials with an application to the construction of irreducible polynomials over the binary field"],"prefix":"10.1007","volume":"1","author":[{"given":"Harald","family":"Niederreiter","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF01810295_CR1","doi-asserted-by":"crossref","DOI":"10.1090\/conm\/095","volume-title":"Infinite algebraic extensions of finite fields. Contemporary Math., Vol. 95","author":"J. V. Brawley","year":"1989","unstructured":"Brawley, J. V., Schnibben, G. E.: Infinite algebraic extensions of finite fields. Contemporary Math., Vol. 95. Providence, R. I.: American Math. Society 1989"},{"key":"BF01810295_CR2","first-page":"101","volume":"117","author":"D. R. Hayes","year":"1965","unstructured":"Hayes, D. R.: The distribution of irreducibles inGF[q,x]. Trans. Am. Math. Soc.117, 101\u2013127 (1965)","journal-title":"Trans. Am. Math. Soc."},{"key":"BF01810295_CR3","volume-title":"Finite fields","author":"R. Lidl","year":"1983","unstructured":"Lidl, R., Niederreiter, H.: Finite fields. Reading, MA.: Addison\u2014Wesley 1983"},{"key":"BF01810295_CR4","volume-title":"Introduction to finite fields and their applications","author":"R. Lidl","year":"1986","unstructured":"Lidl, R., Niederreiter, H.: Introduction to finite fields and their applications. Cambridge: Cambridge University Press 1986"},{"key":"BF01810295_CR5","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/BF01810846","volume":"1","author":"H. Meyn","year":"1990","unstructured":"Meyn, H.: On the construction of irreducible self-reciprocal polynomials over finite fields. AAECC1, 43\u201353 (1990)","journal-title":"AAECC"},{"key":"BF01810295_CR6","first-page":"403","volume":"13","author":"R. R. Varshamov","year":"1969","unstructured":"Varshamov, R. R., Garakov, G. A.: On the theory of selfdual polynomials over a Galois field (Russian). Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.)13, 403\u2013415 (1969)","journal-title":"Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.)"},{"key":"BF01810295_CR7","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1080\/00150517.1988.12429608","volume":"26","author":"D. Wiedemann","year":"1988","unstructured":"Wiedemann, D.: An iterated quadratic extension ofGF(2). Fibonacci Quart.26, 290\u2013295 (1988)","journal-title":"Fibonacci Quart."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01810295.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01810295\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01810295","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T23:42:47Z","timestamp":1735774967000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01810295"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,9]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1990,9]]}},"alternative-id":["BF01810295"],"URL":"https:\/\/doi.org\/10.1007\/bf01810295","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,9]]}}}