{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T16:25:33Z","timestamp":1725899133140},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642385186"},{"type":"electronic","value":"9783642385193"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-38519-3_20","type":"book-chapter","created":{"date-parts":[[2013,5,2]],"date-time":"2013-05-02T03:59:28Z","timestamp":1367467168000},"page":"311-330","source":"Crossref","is-referenced-by-count":0,"title":["New Sequences of Period p n and p n \u2009+\u20091 via Projective Linear Groups"],"prefix":"10.1007","author":[{"given":"Lin","family":"Wang","sequence":"first","affiliation":[]},{"given":"Zhi","family":"Hu","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"20_CR1","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1006\/jcta.1996.0088","volume":"76","author":"S.R. Blackburn","year":"1996","unstructured":"Blackburn, S.R., Etzion, T.: Permutation polynomials, de Bruijn sequences, and linear complexity. J. Combin. Theory Ser. A\u00a076, 55\u201382 (1996)","journal-title":"J. Combin. Theory Ser. A"},{"key":"20_CR2","doi-asserted-by":"publisher","first-page":"1471","DOI":"10.1090\/S0025-5718-04-01698-9","volume":"74","author":"S.R. Blackburn","year":"2005","unstructured":"Blackburn, S.R., Gomez-Perez, D., Gutierrez, J., Shparlinski, I.E.: Predicting nonlinear pseudorandom number generators. Math. Comp.\u00a074, 1471\u20131494 (2005)","journal-title":"Math. Comp."},{"key":"20_CR3","first-page":"11","volume":"88","author":"E. Bombieri","year":"1966","unstructured":"Bombieri, E.: On exponential sums in finite fields. Amer. J. of Math.\u00a088, 11\u201332 (1966)","journal-title":"Amer. J. of Math."},{"key":"20_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1007\/978-3-540-68351-3_18","volume-title":"New Stream Cipher Designs","author":"C. Canni\u00e8re De","year":"2008","unstructured":"De Canni\u00e8re, C., Preneel, B.: Trivium. In: Robshaw, M., Billet, O. (eds.) New Stream Cipher Designs. LNCS, vol.\u00a04986, pp. 244\u2013266. Springer, Heidelberg (2008)"},{"key":"20_CR5","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1007\/BF01235718","volume":"6","author":"W.S. Chou","year":"1995","unstructured":"Chou, W.S.: On inversive maximal period polynomials over finite fields. Appl. Algebra Engrg. Comm. Comput.\u00a06, 245\u2013250 (1995)","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"20_CR6","volume-title":"Handbook of Elliptic and Hyperelliptic Curve Cryptography","author":"H. Cohen","year":"2006","unstructured":"Cohen, H., Frey, G., et al.: Handbook of Elliptic and Hyperelliptic Curve Cryptography. Chapman & Hall\/CRC Taylor & Francis Group, Boca Raton (2006)"},{"key":"20_CR7","series-title":"North-Holland Mathematical Library","doi-asserted-by":"publisher","DOI":"10.1016\/S0924-6509(98)80052-4","volume-title":"Stream Ciphers and Number Theory","author":"T.W. Cusick","year":"1998","unstructured":"Cusick, T.W., Ding, C., Renvall, A.: Stream Ciphers and Number Theory. North-Holland Mathematical Library, vol.\u00a055. Elsevier, North-Holland (1998)"},{"key":"20_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BFb0030350","volume-title":"Advances in Cryptology - AUSCRYPT 1990","author":"C. Ding","year":"1990","unstructured":"Ding, C.: Lower bounds on the weight complexities of cascaded binary sequences. In: Seberry, J., Pieprzyk, J.P. (eds.) AUSCRYPT 1990. LNCS, vol.\u00a0453, pp. 39\u201343. Springer, Heidelberg (1990)"},{"key":"20_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-54973-0","volume-title":"The Stability Theory of Stream Ciphers","author":"C. Ding","year":"1991","unstructured":"Ding, C., Xiao, G., Shan, W.: The Stability Theory of Stream Ciphers. LNCS, vol.\u00a0561. Springer, Heidelberg (1991)"},{"issue":"4","key":"20_CR10","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/BF02932576","volume":"27","author":"J. Eichenauer","year":"1986","unstructured":"Eichenauer, J., Lehn, J.: A nonlinear congruential pseudorandom number generator. Statist. Hefte\u00a027(4), 315\u2013326 (1986)","journal-title":"Statist. Hefte"},{"issue":"1","key":"20_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/132277.132278","volume":"2","author":"J. Eichenauer-Herrmann","year":"1992","unstructured":"Eichenauer-Herrmann, J., Grothe, H.: A new inversive congruential pseudorandom number generator with power of two modulus. ACM Transactions on Modeling and Computer Simulation (TOMACS)\u00a02(1), 1\u201311 (1992)","journal-title":"ACM Transactions on Modeling and Computer Simulation (TOMACS)"},{"issue":"4","key":"20_CR12","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1145\/200883.200896","volume":"4","author":"J. Eichenauer-Herrmann","year":"1994","unstructured":"Eichenauer-Herrmann, J., Niederreiter, H.: Digital Inversive Pseudorandom Numbers. ACM Trans. Model. Comput. Simul.\u00a04(4), 339\u2013349 (1994)","journal-title":"ACM Trans. Model. Comput. Simul."},{"issue":"11","key":"20_CR13","doi-asserted-by":"publisher","first-page":"2837","DOI":"10.1109\/TIT.2002.804043","volume":"48","author":"G. Gong","year":"2002","unstructured":"Gong, G., Youssef, A.M.: Cryptographic properties of the Welsh-Gong transformation sequence generators. IEEE Transactions on Information Theory\u00a048(11), 2837\u20132846 (2002)","journal-title":"IEEE Transactions on Information Theory"},{"key":"20_CR14","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970081","volume-title":"Random number generation and quasi-Monte Carlo methods","author":"H. Niederreiter","year":"1992","unstructured":"Niederreiter, H.: Random number generation and quasi-Monte Carlo methods. SIAM, Philadelphia (1992)"},{"issue":"3","key":"20_CR15","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1007\/s00605-007-0503-3","volume":"153","author":"H. Niederreiter","year":"2008","unstructured":"Niederreiter, H., Rivat, J.: On the correlation of pseudorandom numbers generated by inversive methods. Monatshefte f\u00fcr Mathematik\u00a0153(3), 251\u2013264 (2008)","journal-title":"Monatshefte f\u00fcr Mathematik"},{"key":"20_CR16","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1007\/978-3-642-56046-0_6","volume-title":"Proc. Conf. Monte Carlo and Quasi-Monte Carlo Methods 2000","author":"H. Niederreiter","year":"2002","unstructured":"Niederreiter, H., Shparlinski, I.E.: Recent advances in the theory of nonlinear pseudorandom number generators. In: Proc. Conf. Monte Carlo and Quasi-Monte Carlo Methods 2000, pp. 86\u2013102. Springer, Berlin (2002)"},{"key":"20_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1007\/3-540-44828-4_2","volume-title":"Applied Algebra, Algebraic Algorithms and Error-Correcting Codes","author":"H. Niederreiter","year":"2003","unstructured":"Niederreiter, H., Shparlinski, I.E.: Dynamical systems generated by rational functions. In: Fossorier, M., H\u00f8holdt, T., Poli, A. (eds.) AAECC 2003. LNCS, vol.\u00a02643, pp. 6\u201317. Springer, Heidelberg (2003)"},{"issue":"4","key":"20_CR18","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s002000200105","volume":"13","author":"H. Niederreiter","year":"2002","unstructured":"Niederreiter, H., Winterhof, A.: Lattice structure and linear complexity of nonlinear pseudorandom numbers. Appl. Algebra Eng. Commun. Comput.\u00a013(4), 319\u2013326 (2002)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"20_CR19","doi-asserted-by":"crossref","first-page":"387","DOI":"10.4064\/aa-93-4-387-399","volume":"93","author":"H. Niederreiter","year":"2000","unstructured":"Niederreiter, H., Winterhof, A.: Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number. Acta Arith.\u00a093, 387\u2013399 (2000)","journal-title":"Acta Arith."},{"key":"20_CR20","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1007\/BF01397666","volume":"5","author":"K.G. Paterson","year":"1995","unstructured":"Paterson, K.G.: Perfect factors in the de Bruijn graph. Designs, Codes and Cryptography\u00a05, 115\u2013138 (1995)","journal-title":"Designs, Codes and Cryptography"},{"key":"20_CR21","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/s12095-011-0059-x","volume":"4","author":"W. Si","year":"2012","unstructured":"Si, W., Ding, C.: A simple stream cipher with proven properties. Cryptography and Communications\u00a04, 79\u2013104 (2012)","journal-title":"Cryptography and Communications"},{"key":"20_CR22","doi-asserted-by":"publisher","first-page":"204","DOI":"10.1073\/pnas.34.5.204","volume":"34","author":"A. Weil","year":"1948","unstructured":"Weil, A.: On some exponential sums. Mathematics, Proc. Natl. Acad. Sci. USA\u00a034, 204\u2013207 (1948)","journal-title":"Mathematics, Proc. Natl. Acad. Sci. USA"},{"key":"20_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1007\/978-3-642-15874-2_9","volume-title":"Sequences and Their Applications \u2013 SETA 2010","author":"A. Winterhof","year":"2010","unstructured":"Winterhof, A.: Recent results on recursive nonlinear pseudorandom number generators. In: Carlet, C., Pott, A. (eds.) SETA 2010. LNCS, vol.\u00a06338, pp. 113\u2013124. Springer, Heidelberg (2010)"}],"container-title":["Lecture Notes in Computer Science","Information Security and Cryptology"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-38519-3_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,12]],"date-time":"2019-05-12T15:15:20Z","timestamp":1557674120000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-38519-3_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642385186","9783642385193"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-38519-3_20","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}