{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T09:16:00Z","timestamp":1648977360106},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1992,6,1]],"date-time":"1992-06-01T00:00:00Z","timestamp":707356800000},"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":[[1992,6]]},"DOI":"10.1007\/bf01387196","type":"journal-article","created":{"date-parts":[[2005,4,2]],"date-time":"2005-04-02T03:06:13Z","timestamp":1112411173000},"page":"139-150","source":"Crossref","is-referenced-by-count":1,"title":["On primitive and free roots in a finite field"],"prefix":"10.1007","volume":"3","author":[{"given":"Dirk","family":"Hachenberger","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"Agnew, G. B., Mullin, R. C., Vanstone, S. A.: Arithmetic operations in GF(2n). Submitted to J. Cryptology"},{"key":"CR2","first-page":"2","volume-title":"Proc. AAECC-3 Lecture Notes in Computer Sciences, vol. 229","author":"T. Beth","year":"1986","unstructured":"Beth, T.: On the arithmetics of Galoisfields and the like. Proc. AAECC-3 Lecture Notes in Computer Sciences, vol. 229, pp. 2?16. Berlin, Heidelberg, New York, Springer 1986"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1090\/S0002-9947-1952-0051869-9","volume":"73","author":"L. Carlitz","year":"1952","unstructured":"Carlitz, L.: Primitive roots in a finite field. Trans. Am. Math. Soc.73, 373?382. (1952)","journal-title":"Trans. Am. Math. Soc."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0012-365X(90)90215-4","volume":"83","author":"S. D. Cohen","year":"1990","unstructured":"Cohen, S. D.: Primitive elements and polynomials with arbitrary trace. Discrete Math.83, 1?7 (1990)","journal-title":"Discrete Math."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1112\/jlms\/s1-43.1.21","volume":"43","author":"H. Davenport","year":"1968","unstructured":"Davenport, H.: Bases for finite fields. J. London Math. Soc.43, 21?49 (1968)","journal-title":"J. London Math. Soc."},{"key":"CR6","volume-title":"Basic Algebra I","author":"N. Jacobson","year":"1985","unstructured":"Jacobson, N.: Basic Algebra I. 2nd ed., Freeman W. H., New York: 1985","edition":"2nd ed."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/0021-8693(89)90136-1","volume":"124","author":"D. Jungnickel","year":"1989","unstructured":"Jungnickel, D., Vanstone, S. A.: On primitive polynomials over finite fields. J. Algebra124, 337?353 (1989)","journal-title":"J. Algebra"},{"key":"CR8","volume-title":"Vorlesungen \u00fcber Zahlentheorie II","author":"E. Landau","year":"1927","unstructured":"Landau, E.: Vorlesungen \u00fcber Zahlentheorie II. Leipzig: Hirzel 1927"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1090\/S0025-5718-1987-0866111-3","volume":"48","author":"H. W. Lenstra Jr.","year":"1987","unstructured":"Lenstra, H. W., Jr., Schoof, R. J.: Primitive normal bases for finite fields. Math. Comp.48, 217?231 (1987)","journal-title":"Math. Comp."},{"key":"CR10","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":"CR11","volume-title":"Galoisfelder, Kreisteilungspolynome und Schieberegisterfolgen","author":"H. L\u00fcneburg","year":"1979","unstructured":"L\u00fcneburg, H.: Galoisfelder, Kreisteilungspolynome und Schieberegisterfolgen. Mannheim: Bibliographisches Institut 1979"},{"key":"CR12","volume-title":"Algebra 1, 2","author":"K. Meyberg","year":"1980\/1976","unstructured":"Meyberg, K.: Algebra 1, 2. M\u00fcnchen: Hanser-Verlag 1980\/1976"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0166-218X(88)90090-X","volume":"22","author":"R. C. Mullin","year":"1988\/89","unstructured":"Mullin, R. C., Onyszchuk, I. M., Vanstone, S. A., Wilson, R. M.: Optimal normal bases in GF(p n). Discrete Appl. Math.22, 149?161 (1988\/89)","journal-title":"Discrete Appl. Math."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1090\/S0002-9947-1933-1501703-0","volume":"35","author":"O. Ore","year":"1933","unstructured":"Ore, O.: On a special class of polynomials. Trans. Am. Math. Soc.35, 559?584 (1933); Errata ibid.,36, 275 (1934)","journal-title":"Trans. Am. Math. Soc."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1090\/S0002-9947-1934-1501740-7","volume":"36","author":"O. Ore","year":"1934","unstructured":"Ore, O.: Contributions to the theory of finite fields. Trans. Am. Math. Soc.36, 243?274 (1934)","journal-title":"Trans. Am. Math. Soc."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01387196\/fulltext.html","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01387196.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01387196\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01387196","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T12:14:04Z","timestamp":1556799244000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01387196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,6]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1992,6]]}},"alternative-id":["BF01387196"],"URL":"https:\/\/doi.org\/10.1007\/bf01387196","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,6]]}}}