{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T06:39:45Z","timestamp":1725518385085},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540859116"},{"type":"electronic","value":"9783540859123"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-85912-3_20","type":"book-chapter","created":{"date-parts":[[2008,9,11]],"date-time":"2008-09-11T13:34:32Z","timestamp":1221140072000},"page":"219-229","source":"Crossref","is-referenced-by-count":1,"title":["Expected \u03c0-Adic Security Measures of Sequences"],"prefix":"10.1007","author":[{"given":"Andrew","family":"Klapper","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"20_CR1","volume-title":"Number Theory","author":"Z.I. Borevich","year":"1966","unstructured":"Borevich, Z.I., Shafarevich, I.R.: Number Theory. Academic Press, New York (1966)"},{"key":"20_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/BFb0053437","volume-title":"Advances in Cryptology \u2014 Eurocrypt 1994","author":"M. Goresky","year":"1995","unstructured":"Goresky, M., Klapper, A.: Feedback registers based on ramified extensions of the 2-adic numbers. In: Advances in Cryptology \u2014 Eurocrypt 1994. LNCS, vol.\u00a0718, pp. 215\u2013222. Springer, Heidelberg (1995)"},{"key":"20_CR3","doi-asserted-by":"publisher","first-page":"2826","DOI":"10.1109\/TIT.2002.804048","volume":"48","author":"M. Goresky","year":"2002","unstructured":"Goresky, M., Klapper, A.: Fibonacci and Galois Mode Implementation of Feedback with Carry Shift Registers. IEEE Trans.\u00a0Info.\u00a0Thy.\u00a048, 2826\u20132836 (2002)","journal-title":"IEEE Trans.\u00a0Info.\u00a0Thy."},{"key":"20_CR4","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1023\/B:DESI.0000035467.93014.90","volume":"33","author":"M. Goresky","year":"2004","unstructured":"Goresky, M., Klapper, A.: Periodicity and Correlations of d-FCSR Sequences. Designs, Codes, and Crypt.\u00a033, 123\u2013148 (2004)","journal-title":"Designs, Codes, and Crypt."},{"key":"20_CR5","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s001459900024","volume":"10","author":"A. Klapper","year":"1997","unstructured":"Klapper, A., Goresky, M.: Feedback Shift Registers, Combiners with Memory, and 2-Adic Span. J.\u00a0 Crypt.\u00a010, 111\u2013147 (1997)","journal-title":"J.\u00a0 Crypt."},{"key":"20_CR6","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0304-3975(99)00066-3","volume":"226","author":"A. Klapper","year":"1999","unstructured":"Klapper, A., Xu, J.: Algebraic feedback shift registers. Theor.\u00a0Comp.\u00a0Sci.\u00a0226, 61\u201393 (1999)","journal-title":"Theor.\u00a0Comp.\u00a0Sci."},{"key":"20_CR7","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1016\/j.jco.2003.08.016","volume":"20","author":"A. Klapper","year":"2004","unstructured":"Klapper, A.: Distributional properties of d-FCSR sequences. J.\u00a0Complexity\u00a020, 305\u2013317 (2004)","journal-title":"J.\u00a0Complexity"},{"key":"20_CR8","first-page":"64","volume":"125","author":"E. Landau","year":"1902","unstructured":"Landau, E.: Ueber die zu einem algebraischen Zahlk\u00f6rper geh\u00f6rige Zetafunction und die Ausdehnung der Tschebyschefschen Primzahlentheorie auf das Problem der Vertheilung der Primideale. J.\u00a0f\u00fcr die reine und angewandte Math.\u00a0125, 64\u2013188 (1902)","journal-title":"J.\u00a0f\u00fcr die reine und angewandte Math."},{"key":"20_CR9","volume-title":"Finite Fields","author":"R. Lidl","year":"1997","unstructured":"Lidl, R., Niederreiter, H.: Finite Fields, 2nd edn. Cambridge University Press, Cambridge (1997)","edition":"2"},{"key":"20_CR10","doi-asserted-by":"publisher","first-page":"142","DOI":"10.1006\/ffta.2001.0326","volume":"8","author":"W. Meidl","year":"2002","unstructured":"Meidl, W., Niederreiter, H.: Counting functions and expected values for the k-error linear complexity. Finite Fields Appl.\u00a08, 142\u2013154 (2002)","journal-title":"Finite Fields Appl."},{"key":"20_CR11","doi-asserted-by":"publisher","first-page":"2817","DOI":"10.1109\/TIT.2002.804050","volume":"48","author":"W. Meidl","year":"2002","unstructured":"Meidl, W., Niederreiter, H.: On the expected value of linear complexity and the k-error linear complexity of periodic sequences. IEEE Trans.\u00a0Info.\u00a0Thy.\u00a048, 2817\u20132825 (2002)","journal-title":"IEEE Trans.\u00a0Info.\u00a0Thy."},{"key":"20_CR12","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0885-064X(02)00009-2","volume":"19","author":"W. Meidl","year":"2003","unstructured":"Meidl, W., Niederreiter, H.: The expected value of joint linear complexity of multisequences. J.\u00a0Complexity\u00a019, 61\u201372 (2003)","journal-title":"J.\u00a0Complexity"},{"key":"20_CR13","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF00204450","volume":"2","author":"H. Niederreiter","year":"1990","unstructured":"Niederreiter, H.: A combinatorial approach to probabilistic results on the linear complexity profile of random sequences. J.\u00a0Crypt.\u00a02, 105\u2013112 (1990)","journal-title":"J.\u00a0Crypt."},{"key":"20_CR14","first-page":"225","volume":"31","author":"J. Xu","year":"2004","unstructured":"Xu, J., Klapper, A.: Register synthesis for algebraic feedback shift registers based on non-primes. Designs, Codes, and Crypt.\u00a031, 225\u2013227 (2004)","journal-title":"Designs, Codes, and Crypt."}],"container-title":["Lecture Notes in Computer Science","Sequences and Their Applications - SETA 2008"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-85912-3_20.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T11:54:32Z","timestamp":1619524472000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-85912-3_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540859116","9783540859123"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-85912-3_20","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}