{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T15:12:23Z","timestamp":1726845143819},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540634607"},{"type":"electronic","value":"9783540695561"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1997]]},"DOI":"10.1007\/3-540-63460-6_171","type":"book-chapter","created":{"date-parts":[[2006,7,17]],"date-time":"2006-07-17T14:45:57Z","timestamp":1153147557000},"page":"621-628","source":"Crossref","is-referenced-by-count":5,"title":["\u201cError-free\u201d calculation of the convolution using generalized Mersenne and Fermat transforms over algebraic fields"],"prefix":"10.1007","author":[{"given":"Vladimir M.","family":"Chernov","sequence":"first","affiliation":[]},{"given":"Maria V.","family":"Pershina","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,8,2]]},"reference":[{"key":"79_CR1","doi-asserted-by":"crossref","unstructured":"Nussbaumer, H.J.: Fast Fourier Transform and Convolution Algorithms. Springer. 1982","DOI":"10.1007\/978-3-642-81897-4"},{"key":"79_CR2","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1007\/BF02242355","volume":"7","author":"A. Schoenhage","year":"1966","unstructured":"Schoenhage A., Strassen V.: Schnelle multiplikation grosser Zahlen. Computing. 7 (1966) 281\u2013292","journal-title":"Computing"},{"key":"79_CR3","doi-asserted-by":"crossref","first-page":"1269","DOI":"10.1109\/T-C.1972.223497","volume":"C-21","author":"C.M. Rader","year":"1972","unstructured":"Rader C.M.: Discrete convolution via Mersenne transform. IEEE Trans. Comp. C-21 (1972) 1269\u20131273","journal-title":"IEEE Trans. Comp."},{"key":"79_CR4","doi-asserted-by":"crossref","unstructured":"Blahut, R.E.: Fast Algorithms for Digital Signal Processing. Addison-Wesley. 1985","DOI":"10.1007\/978-94-009-5113-6_8"},{"key":"79_CR5","unstructured":"Mc. Clellan, J.H., Rader, C.M.: Number Theory in Digital Signal Processing. Englewood Cliffs. New York. 1979"},{"key":"79_CR6","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1109\/TASSP.1980.1163370","volume":"2","author":"E. Dubois","year":"1980","unstructured":"Dubois, E., Venetsanopoulos, A.N.: The generalized discrete Fourier transform in ring of algerbaic integers. IEEE Trans. ASSP-28. 2 (1980) 169\u2013175","journal-title":"IEEE Trans. ASSP-28"},{"key":"79_CR7","unstructured":"Alfredson, L.-I.: VLSI architectures and arithmetic operations with application to the Fermat number transform. Link\u00f6ping Studies in Sci. and Technology. Dissertation No.425. (1996)"},{"key":"79_CR8","first-page":"101","volume":"135","author":"S. Boussakta","year":"1988","unstructured":"Boussakta, S., Holt, A.G.J.: Calculation of the discrete Hartley transform via Fermat number transform using VLSI chip. IEE Proc. 135 (1988) 101\u2013103","journal-title":"IEE Proc."},{"key":"79_CR9","first-page":"57","volume":"135","author":"P.J. Towers","year":"1987","unstructured":"Towers, P.J., Pajayakrit, A., Holt A.G.J.: Cascadable NMOS VLSI circuit for implementing a fast convolver using the Fermat number transform. 135 (1987) 57\u201366","journal-title":"Cascadable NMOS VLSI circuit for implementing a fast convolver using the Fermat number transform"},{"key":"79_CR10","unstructured":"Van der Waerden, B.L.: Algebra. 7th ed. Springer. 1966"},{"key":"79_CR11","doi-asserted-by":"crossref","unstructured":"Brillhart, J., Lehner, D.H., Selfridge, J.L., Tuckerman, B., Wagstass, S.S.: Factorizations of b n \u00b1 1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to high powers. Contemporary Mathem. 22. 2nd ed. AMS. 1988.","DOI":"10.1090\/conm\/022"}],"container-title":["Lecture Notes in Computer Science","Computer Analysis of Images and Patterns"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-63460-6_171","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,20]],"date-time":"2019-04-20T02:07:47Z","timestamp":1555726067000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-63460-6_171"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"ISBN":["9783540634607","9783540695561"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/3-540-63460-6_171","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1997]]}}}