{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:07:00Z","timestamp":1773252420247,"version":"3.50.1"},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1991,3,1]],"date-time":"1991-03-01T00:00:00Z","timestamp":667785600000},"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":[[1991,3]]},"DOI":"10.1007\/bf01810851","type":"journal-article","created":{"date-parts":[[2005,6,27]],"date-time":"2005-06-27T17:54:17Z","timestamp":1119894857000},"page":"15-20","source":"Crossref","is-referenced-by-count":14,"title":["An optimal algorithm for multiplication in F256\/F4"],"prefix":"10.1007","volume":"2","author":[{"given":"Ulrich","family":"Baum","sequence":"first","affiliation":[]},{"given":"Mohammad Amin","family":"Shokrollahi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF01810851_CR1","doi-asserted-by":"crossref","first-page":"1739","DOI":"10.1073\/pnas.84.7.1739","volume":"84","author":"D. V. Chudnovsky","year":"1987","unstructured":"Chudnovsky, D. V., Chudnovsky, G. V.: Algebraic complexities and algebraic curves over finite fields. Proc. Natl. Acad. Sci. USA84, 1739\u20131743 (1987)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"BF01810851_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0060944","volume-title":"Lectures on the theory of algebraic functions of one variable. Lecture Notes in Mathematics vol.314","author":"M. Deuring","year":"1973","unstructured":"Deuring, M.: Lectures on the theory of algebraic functions of one variable. Lecture Notes in Mathematics vol.314. Berlin, Heidelberg, New York: Springer 1973"},{"key":"BF01810851_CR3","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1137\/0212007","volume":"12","author":"H. F. Groote de","year":"1983","unstructured":"de Groote, H. F.: Characterization of division algebras of minimal rank and the structure of their algorithm varieties. SIAM J. Comput.12, 101\u2013117 (1983)","journal-title":"SIAM J. Comput."},{"key":"BF01810851_CR4","volume-title":"Lectures on the complexity of Bilinear problems. Lecture Notes in Computer Science, vol.245","author":"H. F. Groote de","year":"1985","unstructured":"de Groote, H. F.: Lectures on the complexity of Bilinear problems. Lecture Notes in Computer Science, vol.245. Berlin, Heidelberg, New York: Springer 1985"},{"key":"BF01810851_CR5","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0022-4049(87)90081-8","volume":"45","author":"Y. Driencourt","year":"1987","unstructured":"Driencourt, Y., Michon, J. F.: Elliptic codes over fields of characteristic 2. J. Pure Appl. Algebra45, 15\u201339 (1987)","journal-title":"J. Pure Appl. Algebra"},{"key":"BF01810851_CR6","unstructured":"Niemeyer, A., Nickel, W., Sch\u00f6nert, M.: GAP, getting started and reference manual. Department of Mathematics, University of Aachen, 1988"},{"key":"BF01810851_CR7","unstructured":"Shokrollahi, M. A.: Optimal algorithms for multiplication in certain finite fields using elliptic curves. Research Report, Universit\u00e4t Bonn; submitted for publication"},{"key":"BF01810851_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-1920-8","volume-title":"The arithmetic of elliptic curves","author":"J. H. Silverman","year":"1986","unstructured":"Silverman, J. H.: The arithmetic of elliptic curves. Berlin, Heidelberg, New York: Springer 1986"},{"key":"BF01810851_CR9","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0304-3975(79)90017-3","volume":"8","author":"S. Winograd","year":"1979","unstructured":"Winograd, S.: On multiplication in algebraic extension fields. Theoretical Comput. Sci.8, 359\u2013377 (1979)","journal-title":"Theoretical Comput. Sci."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01810851.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01810851\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01810851","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T09:55:29Z","timestamp":1557482129000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01810851"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,3]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,3]]}},"alternative-id":["BF01810851"],"URL":"https:\/\/doi.org\/10.1007\/bf01810851","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,3]]}}}