Boneh, Dan; Franklin, Matthew Identity-based encryption from the Weil pairing. (English) Zbl 1046.94008 SIAM J. Comput. 32, No. 3, 586-615 (2003). Reviewer: Tanja Lange (Bochum) MSC: 94A60 11T71 68P25 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Lidl, Rudolf; Niederreiter, Harald Finite fields. Paperback reprint of the hardback 2nd edition 1996. (English) Zbl 1139.11053 Encyclopedia of Mathematics and Its Applications 20. Cambridge: Cambridge University Press (ISBN 978-0-521-06567-2/pbk). xiv, 755 p. (2008). MSC: 11Txx 11-02 11T06 11T30 11T23 11T24 11T55 11Y16 94B05 94B15 11T71 94A24 × Cite Format Result Cite Review PDF
Golomb, Solomon W.; Gong, Guang Signal design for good correlation. For wireless communication, cryptography, and radar. (English) Zbl 1097.94015 Cambridge: Cambridge University Press (ISBN 0-521-82104-5/hbk). xviii, 438 p. (2005). Reviewer: Antoni Michalski (Warszawa) MSC: 94A12 62H20 94-02 94A55 94A60 11T71 05B10 05B20 × Cite Format Result Cite Review PDF
Boneh, Dan; Boyen, Xavier; Shacham, Hovav Short group signatures. (English) Zbl 1104.94044 Franklin, Matt (ed.), Advances in cryptology – CRYPTO 2004. 24th annual international cryptology conference, Santa Barbara, California, USA, August 15–19, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22668-0/pbk). Lecture Notes in Computer Science 3152, 41-55 (2004). MSC: 94A62 11T71 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Boneh, Dan; Lynn, Ben; Shacham, Hovav Short signatures from the Weil pairing. (English) Zbl 1070.94010 J. Cryptology 17, No. 4, 297-319 (2004). Reviewer: Carlos Munuera (Valladolid) MSC: 94A62 11T71 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas Recurrence sequences. (English) Zbl 1033.11006 Mathematical Surveys and Monographs 104. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3387-1/hbk). xiii, 318 p. (2003). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11B37 11-02 11B39 11G05 11T23 33B10 11J71 11K45 11B85 37B15 94A60 × Cite Format Result Cite Review PDF
Mullen, Gary L. (ed.); Panario, Daniel (ed.) [Ball, L. Simeon; Blake, Ian; Blokhuis, Aart; Cioaba, Sebastian M.; Colbourn, Charles J.; Ding, Jintai; Dinitz, Jeffrey H.; Dumas, Jean-Guillaume; Ebert, Gary; Effinger, Gove; Enge, Andreas; Fan, Haining; Gong, Guang; Goss, David; Gupta, Kishan Chand; Hasan, M. Anwarul; Hinkelmann, Franziska; Hirschfeld, James W. P.; Huffman, W. Cary; Jedwab, Jonathan; Jungnickel, Dieter; Laubenbacher, Reinhard; Litsyn, Simon; Menezes, Alfred; Mullen, Gary L.; Murty, Kumar; Murty, M. Ram; Niederreiter, Harald; Pernet, Clément; Pott, Alexander; Roetteler, Martin; Schmidt, Kai-Uwe; Stevens, Brett; Storme, Leo; Takeshita, Oscar; Thas, Joseph A.; Thériault, Nicolas; Wan, Zhe-Xian; Winterhof, Arne; Gow, Roderick; Panario, Daniel; Thomson, David; Yucas, Joseph L.; Kyuregyan, Melsik; Ahmadi, Omran; Cohen, Stephen D.; Hou, Xiang-dong; Voloch, Jose Felipe; Gao, Shuhong; Liao, Qunying; Hachenberger, Dirk; Evans, Ronald J.; Rojas-Leon, Antonio; Ostafe, Alina; Garaev, Moubariz Z.; Fitzgerald, Robert; Castro, Francis; Rubio, Ivelisse; Lidl, Rudolf; Zieve, Michael E.; Carlet, Claude; Charpin, Pascale; Kholosha, Alexander; Coulter, Robert; Wang, Qiang; Fried, Michael D.; McGuire, Gary; Helleseth, Tor; Meidl, Wilfried; Shparlinski, Igor; Doche, Christophe; Giesbrecht, Mark; von zur Gathen, Joachim; Kaltofen, Erich; Lecerf, Gregoire; Odlyzko, Andrew; de Smit, Bart; Lenstra, Hendrik; Silverman, Joseph; Bernstein, Daniel J.; Lange, Tanja; Jacobson, Michael John jun.; Scheidler, Renate; Garcia, Arnaldo; Stichtenoth, Henning; Fu, Lei; Blache, Regis; Wan, Daqing] Handbook of finite fields. (English) Zbl 1319.11001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4398-7378-6/hbk; 978-1-4398-7382-3/ebook). xxxv, 1033 p. (2013). Reviewer: Olaf Ninnemann (Berlin) MSC: 11-00 11Txx 12E20 05B20 05C50 11G20 14G15 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Washington, Lawrence C. Elliptic curves. Number theory and cryptography. 2nd ed. (English) Zbl 1200.11043 Boca Raton, FL: Chapman and Hall/CRC (ISBN 978-1-4200-7146-7/hbk). xviii, 513 p. (2008). MSC: 11G20 11G05 11-01 14G50 94A60 11T71 11G50 14G10 × Cite Format Result Cite Review PDF
Dillon, J. F.; Dobbertin, Hans New cyclic difference sets with Singer parameters. (English) Zbl 1043.05024 Finite Fields Appl. 10, No. 3, 342-389 (2004). MSC: 05B10 11T06 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Joux, Antoine A one round protocol for tripartite Diffie-Hellman. (English) Zbl 1029.94026 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1838, 385-393 (2000). MSC: 94A60 11T71 14G50 × Cite Format Result Cite Review PDF
Washington, Lawrence C. Elliptic curves. Number theory and cryptography. (English) Zbl 1034.11037 Discrete Mathematics and its Applications. Boca Raton, FL: Chapman and Hall/CRC (ISBN 1-58488-365-0/hbk). xi, 428 p. (2003). Reviewer: G. van der Geer (Amsterdam) MSC: 11G20 11G05 11-01 14G50 94A60 11T71 × Cite Format Result Cite Review PDF
Barreto, Paulo S. L. M.; Naehrig, Michael Pairing-friendly elliptic curves of prime order. (English) Zbl 1151.94479 Preneel, Bart (ed.) et al., Selected areas in cryptography. 12th international workshop, SAC 2005, Kingston, ON, Canada, August 11–12, 2005. Revised selected papers. Berlin: Springer (ISBN 978-3-540-33108-7/pbk). Lecture Notes in Computer Science 3897, 319-331 (2006). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Biggs, Norman L. Codes: An introduction to information communication and cryptography. (English) Zbl 1148.94001 Springer Undergraduate Mathematics Series. London: Springer (ISBN 978-1-84800-272-2/pbk). x, 273 p. (2008). Reviewer: Ralph-Hardo Schulz (Berlin) MSC: 94-01 94Axx 94B15 94B05 68P25 68P30 11T71 × Cite Format Result Cite Review PDF
Hankerson, Darrel; Menezes, Alfred; Vanstone, Scott Guide to elliptic curve cryptography. (English) Zbl 1059.94016 Springer Professional Computing. New York, NY: Springer (ISBN 0-387-95273-X/hbk). xx, 311 p. (2004). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 94-01 11T71 14G50 × Cite Format Result Cite Review PDF
Stinson, Douglas Cryptography. Theory and practice. 2nd edition. (English) Zbl 0997.94001 CRC Press Series on Discrete Mathematics and its Applications. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-206-9). 339 p. (2002). MSC: 94-01 94A60 94A62 11T71 14G50 × Cite Format Result Cite Review PDF
Budaghyan, Lilya; Carlet, Claude; Pott, Alexander New classes of almost bent and almost perfect nonlinear polynomials. (English) Zbl 1177.94136 IEEE Trans. Inf. Theory 52, No. 3, 1141-1152 (2006). MSC: 94D10 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor Two classes of quadratic APN binomials inequivalent to power functions. (English) Zbl 1177.94135 IEEE Trans. Inf. Theory 54, No. 9, 4218-4229 (2008). MSC: 11T06 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Katz, Jonathan; Lindell, Yehuda Introduction to modern cryptography. (English) Zbl 1143.94001 Chapman & Hall/CRC Cryptography and Network Security. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-551-1/hbk). xviii, 534 p. (2008). Reviewer: Guillermo Morales-Luna (Mexico) MSC: 94-01 94A60 94A62 11T71 94A55 × Cite Format Result Cite Review PDF
May, Alexander Secret exponent attacks on RSA-type schemes with moduli \(N=p^rq\). (English) Zbl 1198.94113 Bao, Feng (ed.) et al., Public key cryptography – PKC 2004. 7th international workshop on theory and practice in public key cryptography, Singapore, March 1–4, 2004. Proceedings. Berlin: Springer (ISBN 3-540-21018-0/pbk). Lecture Notes in Computer Science 2947, 218-230 (2004). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Gong, Guang; Golomb, Solomon A simple construction of almost perfect quinary ASK and QAM sequences. (English) Zbl 1337.94015 Schmidt, Kai-Uwe (ed.) et al., Sequences and their applications – SETA 2014. 8th international conference, Melbourne, VIC, Australia, November 24–28, 2014. Proceedings. Cham: Springer (ISBN 978-3-319-12324-0/pbk; 978-3-319-12325-7/ebook). Lecture Notes in Computer Science 8865, 109-120 (2014). MSC: 94A55 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Law, Laurie; Menezes, Alfred; Qu, Minghua; Solinas, Jerry; Vanstone, Scott An efficient protocol for authenticated key agreement. (English) Zbl 1016.94025 Des. Codes Cryptography 28, No. 2, 119-134 (2003). MSC: 94A60 94A62 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Katz, Jonathan; Lindell, Yehuda Introduction to modern cryptography. 2nd ed. (English) Zbl 1323.94001 Chapman & Hall/CRC Cryptography and Network Security. Boca Raton, FL: CRC Press (ISBN 978-1-4665-7026-9/hbk; 978-1-4665-7028-3/ebook). xx, 583 p. (2015). Reviewer: Fabian Müller (Berlin) MSC: 94-01 94A60 94A62 11T71 94A55 × Cite Format Result Cite Review PDF
Koblitz, Neal The uneasy relationship between mathematics and cryptography. (English) Zbl 1185.00037 Notices Am. Math. Soc. 54, No. 8, 972-979 (2007). MSC: 00A99 01A60 11T71 94-03 94A60 × Cite Format Result Cite Review PDF
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor Constructing new APN functions from known ones. (English) Zbl 1184.94228 Finite Fields Appl. 15, No. 2, 150-159 (2009). MSC: 94D10 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, Jean On an exponential sum related to the Diffie-Hellman cryptosystem. (English) Zbl 1159.11050 Int. Math. Res. Not. 2006, No. 25, Article ID 61271, 15 p. (2006). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11T23 11L07 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Niederreiter, Harald; Winterhof, Arne Applied number theory. (English) Zbl 1328.11001 Cham: Springer (ISBN 978-3-319-22320-9/hbk; 978-3-319-22321-6/ebook). x, 442 p. (2015). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-01 11T71 11K45 94A60 94B05 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal; Menezes, Alfred Another look at security definitions. (English) Zbl 1317.94117 Adv. Math. Commun. 7, No. 1, 1-38 (2013). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Hoffstein, Jeffrey; Pipher, Jill; Silverman, Joseph H. An introduction to mathematical cryptography. (English) Zbl 1160.94001 Undergraduate Texts in Mathematics. New York, NY: Springer (ISBN 978-0-387-77993-5/hbk). xv, 523 p. (2008). Reviewer: Enric Nart Viñals (Barcelona) MSC: 94-01 94A60 14G50 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Galbraith, Steven D. Mathematics of public key cryptography. (English) Zbl 1238.94027 Cambridge: Cambridge University Press (ISBN 978-1-107-01392-6/hbk). xiv, 615 p. (2012). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 11-01 11T71 11Y16 12Y05 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Naor, Moni; Pinkas, Benny Oblivious polynomial evaluation. (English) Zbl 1101.94026 SIAM J. Comput. 35, No. 5, 1254-1281 (2006). MSC: 94A60 11T71 94A62 × Cite Format Result Cite Review PDF Full Text: DOI
Bernstein, Daniel J.; Birkner, Peter; Joye, Marc; Lange, Tanja; Peters, Christiane Twisted Edwards curves. (English) Zbl 1142.94332 Vaudenay, Serge (ed.), Progress in cryptology – AFRICACRYPT 2008. First international conference on cryptology in Africa, Casablanca, Morocco, June 11–14, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-68159-5/pbk). Lecture Notes in Computer Science 5023, 389-405 (2008). MSC: 11G20 11T71 14G50 14H52 11G05 94A60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Niederreiter, Harald Algebraic function fields over finite fields. (English) Zbl 1033.11053 Niederreiter, Harald (ed.) et al., Coding theory and cryptology. River Edge, NJ: World Scientific (ISBN 981-238-132-5/hbk). Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 1, 259-282 (2002). Reviewer: Tanja Lange (Bochum) MSC: 11R58 14C40 11T71 12J20 94A60 × Cite Format Result Cite Review PDF
Gaudry, P.; Hess, F.; Smart, N. P. Constructive and destructive facets of Weil descent on elliptic curves. (English) Zbl 0996.94036 J. Cryptology 15, No. 1, 19-46 (2001). Reviewer: Juan Tena Ayuso (Valladoli) MSC: 94A60 14G50 11G07 11T71 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hess, Florian; Smart, Nigel P.; Vercauteren, Frederik The eta pairing revisited. (English) Zbl 1189.11057 IEEE Trans. Inf. Theory 52, No. 10, 4595-4602 (2006). MSC: 11T71 94A60 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. On the hidden shifted power problem. (English) Zbl 1311.11111 SIAM J. Comput. 41, No. 6, 1524-1557 (2012). MSC: 11T06 11Y16 68Q25 94A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cohen, Henri Analysis of the sliding window powering algorithm. (English) Zbl 1066.11056 J. Cryptology 18, No. 1, 63-76 (2005). Reviewer: D. Poulakis (Thessaloniki) MSC: 11Y16 14G50 94A60 11T71 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal; Menezes, Alfred Intractable problems in cryptography. (English) Zbl 1222.94033 McGuire, Gary (ed.) et al., Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4786-2/pbk). Contemporary Mathematics 518, 279-300 (2010). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 94A60 11T71 68P25 × Cite Format Result Cite Review PDF
Koblitz, Neal; Menezes, Alfred Another look at non-uniformity. (English) Zbl 1308.94077 Groups Complex. Cryptol. 5, No. 2, 117-139 (2013). Reviewer: Adrian Atanasiu (Bucureşti) MSC: 94A60 11T71 68P25 × Cite Format Result Cite Review PDF Full Text: DOI
Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael Efficient pairing computation on supersingular abelian varieties. (English) Zbl 1142.14307 Des. Codes Cryptography 42, No. 3, 239-271 (2007). MSC: 14G50 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal; Menezes, Alfred Another look at non-standard discrete log and Diffie-Hellman problems. (English) Zbl 1156.94357 J. Math. Cryptol. 2, No. 4, 311-326 (2008). MSC: 94A60 68P25 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Solinas, Jerome A. Efficient arithmetic on Koblitz curves. (English) Zbl 0997.94017 Des. Codes Cryptography 19, No. 2-3, 195-249 (2000). Reviewer: Tanja Lange (Bochum) MSC: 94A60 11T71 14G50 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI
Menezes, Alfred Another look at HMQV. (English) Zbl 1211.94032 J. Math. Cryptol. 1, No. 1, 47-64 (2007). MSC: 94A60 68P25 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal Good and bad uses of elliptic curves in cryptography. (English) Zbl 1063.11051 Mosc. Math. J. 2, No. 4, 693-715 (2002). MSC: 11T71 14G50 11G20 94A60 11Y16 94A62 × Cite Format Result Cite Review PDF
Klappenecker, Andreas; Rötteler, Martin Constructions of mutually unbiased bases. (English) Zbl 1119.81029 Mullen, Gary L. (ed.) et al., Finite fields and applications. 7th international conference, \({\mathbb{F}}_{q^7}\), Toulouse, France, May 5–9, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21324-4/pbk). Lecture Notes in Computer Science 2948, 137-144 (2004). MSC: 81P68 11T23 94A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koblitz, Neal; Menezes, Alfred Another look at generic groups. (English) Zbl 1113.94005 Adv. Math. Commun. 1, No. 1, 13-28 (2007). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 94A60 68P25 11T71 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Golomb, Solomon W.; Lee, Pey-Feng Irreducible polynomials which divide trinomials over \(\mathrm{GF}(2)\). (English) Zbl 1310.11113 IEEE Trans. Inf. Theory 53, No. 2, 768-774 (2007). MSC: 11T06 11T71 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Kraft, James S.; Washington, Lawrence C. An introduction to number theory with cryptography. (English) Zbl 1288.11001 Boca Raton, FL: CRC Press (ISBN 978-1-4822-1441-3/hbk). xviii, 554 p. (2014). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11Axx 11N05 11R04 11T71 11Y05 11Y11 00A05 94A60 × Cite Format Result Cite Review PDF
Koblitz, Neal; Menezes, Alfred; Vanstone, Scott The state of elliptic curve cryptography. (English) Zbl 0996.94032 Des. Codes Cryptography 19, No. 2-3, 173-193 (2000). Reviewer: Jan Camenisch (Rüschlikon) MSC: 94A60 14G50 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Silverman, Joseph H. Elliptic curves and cryptography. (English) Zbl 1155.14300 Garrett, Paul (ed.) et al., Public-key cryptography. American Mathematical Society, short course, Baltimore, MD, USA, January 13–14, 2003. Collected papers. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3365-0/hbk). Proceedings of Symposia in Applied Mathematics 62, 91-112 (2005). MSC: 14G50 11G05 11G20 11T71 94A60 × Cite Format Result Cite Review PDF
Koblitz, Neal A survey of number theory and cryptography. (English) Zbl 0988.11058 Bambah, R. P. (ed.) et al., Number theory. Basel: Birkhäuser. Trends in Mathematics. 217-239 (2000). Reviewer: Franck Leprévost (Grenoble) MSC: 11Y16 94A60 11Y11 11T71 11G07 × Cite Format Result Cite Review PDF
Edel, Yves; Pott, Alexander A new almost perfect nonlinear function which is not quadratic. (English) Zbl 1231.11140 Adv. Math. Commun. 3, No. 1, 59-81 (2009). MSC: 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Helleseth, Tor; Kholosha, Alexander Monomial and quadratic bent functions over the finite fields of odd characteristic. (English) Zbl 1177.94149 IEEE Trans. Inf. Theory 52, No. 5, 2018-2032 (2006). MSC: 94A60 11T71 11L05 94B25 × Cite Format Result Cite Review PDF Full Text: DOI
Silverman, Joseph H. Lattices, cryptography, and the NTRU public key cryptosystem. (English) Zbl 1073.94015 Nathanson, Melvyn B. (ed.), Unusual applications of number theory. Proceedings of the DIMACS workshop held at Rutgers University, Piscataway, NJ, USA, January 10–14, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2703-0/hbk). DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 64, 183-198 (2004). MSC: 94A60 11T71 94-02 × Cite Format Result Cite Review PDF
Edel, Yves; Kyureghyan, Gohar M.; Pott, Alexander A new APN function which is not equivalent to a power mapping. (English) Zbl 1246.11185 IEEE Trans. Inf. Theory 52, No. 2, 744-747 (2006). MSC: 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Phong Q.; Regev, Oded Learning a parallelepiped: cryptanalysis of GGH and NTRU signatures. (English) Zbl 1140.94365 Vaudenay, Serge (ed.), Advances in cryptology – EUROCRYPT 2006. 25th annual international conference on the theory and applications of cryptographic techniques, St. Petersburg, Russia, May 28 – June 1, 2006. Proceedings. Berlin: Springer (ISBN 3-540-34546-9/pbk). Lecture Notes in Computer Science 4004, 271-288 (2006). MSC: 94A60 94A62 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Browning, K. A.; Dillon, J. F.; McQuistan, M. T.; Wolfe, A. J. An APN permutation in dimension six. (English) Zbl 1206.94026 McGuire, Gary (ed.) et al., Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4786-2/pbk). Contemporary Mathematics 518, 33-42 (2010). MSC: 94D10 94A60 11T71 × Cite Format Result Cite Review PDF
Golomb, Solomon W.; Lee, Pey-Feng Which irreducible polynomials divide trinomials over GF(2)? (English) Zbl 1145.11334 Helleseth, T. (ed.) et al., Sequences and their applications – SETA 2004. Third international conference, Seoul, Korea, October 24–28, 2004. Revised selected papers. Berlin: Springer (ISBN 978-3-540-26084-4/pbk). Lecture Notes in Computer Science 3486, 414-424 (2005). MSC: 11T06 94A55 × Cite Format Result Cite Review PDF Full Text: DOI
Joux, Antoine Faster index calculus for the medium prime case application to 1175-bit and 1425-bit finite fields. (English) Zbl 1306.94063 Johansson, Thomas (ed.) et al., Advances in cryptology – EUROCRYPT 2013. 32nd annual international conference on the theory and applications of cryptographic techniques, Athens, Greece, May 26–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38347-2/pbk). Lecture Notes in Computer Science 7881, 177-193 (2013). MSC: 94A60 11T71 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. (English) Zbl 1178.94220 IEEE Trans. Inf. Theory 52, No. 2, 613-627 (2006). MSC: 94A55 11T24 11L05 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Boyen, Xavier The uber-assumption family. A unified complexity framework for bilinear groups. (English) Zbl 1186.94427 Galbraith, Steven D. (ed.) et al., Pairing-based cryptography – Pairing 2008. Second international conference, Egham, UK, September 1–3, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85503-3/pbk). Lecture Notes in Computer Science 5209, 39-56 (2008). MSC: 94A60 11T71 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Ann Hibner; Koblitz, Neal; Menezes, Alfred Elliptic curve cryptography: the serpentine course of a paradigm shift. (English) Zbl 1213.94117 J. Number Theory 131, No. 5, 781-814 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 94A60 11T71 14G50 68P25 01A80 × Cite Format Result Cite Review PDF Full Text: DOI
Budaghyan, Lilya; Carlet, Claude Classes of quadratic APN trinomials and hexanomials and related structures. (English) Zbl 1177.94134 IEEE Trans. Inf. Theory 54, No. 5, 2354-2357 (2008). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor On the statistical properties of Diffie-Hellman distributions. (English) Zbl 0997.11066 Isr. J. Math. 120, Pt. A, 23-46 (2000). Reviewer: Arne Winterhof (Wien) MSC: 11L07 11T23 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Joux, Antoine; Nguyen, Kim Separating decision Diffie-Hellman from computational Diffie-Hellman in cryptographic groups. (English) Zbl 1101.14309 J. Cryptology 16, No. 4, 239-247 (2003). MSC: 14G50 94A60 11T71 × Cite Format Result Cite Review PDF
Boneh, Dan; Halevi, Shai; Howgrave-Graham, Nick The modular inversion hidden number problem. (English) Zbl 1062.94545 Boyd, Colin (ed.), Advances in cryptology - ASIACRYPT 2001. 7th international conference on the theory and application of cryptology and information security, Gold Coast, Australia, December 9–13, 2001. Proceedings. Berlin: Springer (ISBN 3-540-42987-5). Lect. Notes Comput. Sci. 2248, 36-51 (2001). MSC: 94A60 11T71 68Q25 × Cite Format Result Cite Review PDF Full Text: Link
Niederreiter, Harald; Wang, Li-Ping The asymptotic behavior of the joint linear complexity profile of multisequences. (English) Zbl 1121.94018 Monatsh. Math. 150, No. 2, 141-155 (2007). Reviewer: Wilfried Meidl (Istanbul) MSC: 94A55 11T71 11B50 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka Explicit constructions of RIP matrices and related problems. (English) Zbl 1236.94027 Duke Math. J. 159, No. 1, 145-185 (2011). MSC: 94A12 11T23 11B13 11B30 41A46 94B60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Nguyên, Phong Q.; Stehlé, Damien Floating-point LLL revisited. (English) Zbl 1137.94353 Cramer, Ronald (ed.), Advances in cryptology – EUROCRYPT 2005. 24th annual international conference on the theory and applications of cryptographic techniques, Aarhus, Denmark, May 22–26, 2005. Proceedings. Berlin: Springer (ISBN 3-540-25910-4/pbk). Lecture Notes in Computer Science 3494, 215-233 (2005). MSC: 94A60 11H16 11T71 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI
Lenstra, Arjen K. Unbelievable security. (English) Zbl 1062.94550 Boyd, Colin (ed.), Advances in cryptology - ASIACRYPT 2001. 7th international conference on the theory and application of cryptology and information security, Gold Coast, Australia, December 9–13, 2001. Proceedings. Berlin: Springer (ISBN 3-540-42987-5). Lect. Notes Comput. Sci. 2248, 67-86 (2001). MSC: 94A60 11T71 14G50 × Cite Format Result Cite Review PDF Full Text: Link
Carlet, Claude Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. (English) Zbl 1229.94041 Des. Codes Cryptography 59, No. 1-3, 89-109 (2011). Reviewer: Guillermo Morales-Luna (Mexico) MSC: 94A60 11T71 06E30 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal; Menezes, Alfred J. A survey of public-key cryptosystems. (English) Zbl 1071.94013 SIAM Rev. 46, No. 4, 599-634 (2004). Reviewer: Richard A. Mollin (Calgary) MSC: 94A60 11T71 14G50 68P25 × Cite Format Result Cite Review PDF Full Text: DOI
Brent, Richard P.; Zimmermann, Paul The great trinomial hunt. (English) Zbl 1277.11110 Notices Am. Math. Soc. 58, No. 2, 233-239 (2011). MSC: 11T06 12E05 94A55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Barbulescu, Razvan; Gaudry, Pierrick; Joux, Antoine; Thomé, Emmanuel A heuristic quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic. (English) Zbl 1326.11080 Nguyen, Phong Q. (ed.) et al., Advances in cryptology – EUROCRYPT 2014. 33rd annual international conference on the theory and applications of cryptographic techniques, Copenhagen, Denmark, May 11–15, 2014. Proceedings. Berlin: Springer (ISBN 978-3-642-55219-9/pbk). Lecture Notes in Computer Science 8441, 1-16 (2014). MSC: 11Y16 11T71 68W30 94A60 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Berger, Thierry P.; Canteaut, Anne; Charpin, Pascale; Laigle-Chapuy, Yann On almost perfect nonlinear functions over \(\mathbb F_2^n\). (English) Zbl 1184.94224 IEEE Trans. Inf. Theory 52, No. 9, 4160-4170 (2006). MSC: 94A60 94D10 11T06 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans Weight divisibility of cyclic codes, highly nonlinear functions on \(F_{2^m}\), and crosscorrelation of maximum-length sequences. (English) Zbl 1010.94013 SIAM J. Discrete Math. 13, No. 1, 105-138 (2000). MSC: 94B15 11T71 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li-Ping; Niederreiter, Harald Enumeration results on the joint linear complexity of multisequences. (English) Zbl 1156.94328 Finite Fields Appl. 12, No. 4, 613-637 (2006). MSC: 94A55 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary New families of quadratic almost perfect nonlinear trinomials and multinomials. (English) Zbl 1153.11058 Finite Fields Appl. 14, No. 3, 703-714 (2008). Reviewer: Richard A. Mollin (Calgary) MSC: 11T06 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
van Benthem, Johan “One is a lonely number”: logic and communication. (English) Zbl 1108.03011 Chatzidakis, Zoé (ed.) et al., Logic colloquium ’02. Proceedings of the annual European summer meeting of the Association for Symbolic Logic (ASL) and the Colloquium Logicum, Münster, Germany, August 3–11, 2002. Wellesley, MA: A K Peters; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 1-56881-300-7/hbk; 1-56881-301-5/pbk). Lecture Notes in Logic 27, 96-129 (2006). Reviewer: Albert A. Mullin (Madison) MSC: 03A05 03B45 68N17 68P25 68T27 94A60 11T71 × Cite Format Result Cite Review PDF
Hollmann, Henk D. L.; Xiang, Qing A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences. (English) Zbl 1027.94006 Finite Fields Appl. 7, No. 2, 253-286 (2001). Reviewer: L. M. G. M. Tolhuizen (Eindhoven) MSC: 94A55 94B15 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Blondeau, Céline; Nyberg, Kaisa Perfect nonlinear functions and cryptography. (English) Zbl 1372.94413 Finite Fields Appl. 32, 120-147 (2015). Reviewer: Alexander Pott (Magdeburg) MSC: 94D10 94A60 94-02 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Jambunathan, K. On choice of connection-polynomials for LFSR-based stream ciphers. (English) Zbl 1074.94518 Roy, Bimal (ed.) et al., Progress in cryptology - INDOCRYPT 2000. 1st international conference in cryptology in India, Calcutta, India, December 10–13, 2000. Proceedings. Berlin: Springer (ISBN 3-540-41452-5). Lect. Notes Comput. Sci. 1977, 9-18 (2000). MSC: 94A55 11T06 × Cite Format Result Cite Review PDF
Aggarwal, Divesh; Dodis, Yevgeniy; Lovett, Shachar Non-malleable codes from additive combinatorics (extended abstract). (English) Zbl 1315.94142 Proceedings of the 46th annual ACM symposium on theory of computing, STOC ’14, New York, NY, USA, May 31 – June 3, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2710-7). 774-783 (2014). MSC: 94B25 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hao; Cramer, Ronald; Goldwasser, Shafi; de Haan, Robbert; Vaikuntanathan, Vinod Secure computation from random error correcting codes. (English) Zbl 1141.94346 Naor, Moni (ed.), Advances in cryptology – EUROCRYPT 2007. 26th annual international conference on the theory and applications of cryptographic techniques, Barcelona, Spain, May 20–24, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-72539-8/pbk). Lecture Notes in Computer Science 4515, 291-310 (2007). MSC: 94A60 11T71 94B27 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal; Menezes, Alfred J. Obstacles to the torsion-subgroup attack on the decision Diffie-Hellman Problem. (English) Zbl 1064.94013 Math. Comput. 73, No. 248, 2027-2041 (2004). Reviewer: Karl-Heinz Zimmermann (Hamburg) MSC: 94A60 11T71 14G50 × Cite Format Result Cite Review PDF Full Text: DOI
Golomb, Solomon W.; Gong, Guang; Mittenthal, Lothrop Constructions of orthomorphisms of \(\mathbb{Z}_2^n\). (English) Zbl 1006.11074 Jungnickel, Dieter (ed.) et al., Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2-6, 1999. Berlin: Springer. 178-195 (2001). MSC: 11T71 05B15 94A60 × Cite Format Result Cite Review PDF
McEliece, Robert J.; Le Dantec, Claude; Piret, Philippe M. Permutations preserving divisibility. (English) Zbl 0994.11041 IEEE Trans. Inf. Theory 47, No. 3, 1206-1207 (2001). MSC: 11T06 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dillon, J. F. Geometry, codes and difference sets: Exceptional connections. (English) Zbl 1032.94013 Arasu, K. T. (ed.) et al., Codes and designs. Proceedings of a conference honoring Professor Dijen K. Ray-Chaudhuri on the occasion of his 65th birthday, The Ohio State University, Columbus, OH, USA, May 18-21, 2000. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 10, 73-85 (2002). Reviewer: Vladimir D.Tonchev (Houghton) MSC: 94B15 05B10 11T71 94A55 × Cite Format Result Cite Review PDF
Chu, Wensong; Colbourn, Charles J.; Dukes, Peter Constructions for permutation codes in powerline communications. (English) Zbl 1065.94003 Des. Codes Cryptography 32, No. 1-3, 51-64 (2004). Reviewer: Bal Kishan Dass (Delhi) MSC: 94A29 11T06 05B15 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Dobbertin, Hans Uniformly representable permutation polynomials. (English) Zbl 1041.11081 Helleseth, Tor (ed.) et al., Sequences and their applications. Proceedings of the 2nd international conference (SETA’01), Bergen, Norway, May 13–17, 2001. London: Springer (ISBN 1-85233-529-7). Discrete Mathematics and Theoretical Computer Science, 1-22 (2002). Reviewer: Astrid Reifegerste (Hannover) MSC: 11T06 94A55 51E21 × Cite Format Result Cite Review PDF
Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E. Period of the power generator and small values of Carmichael’s function. (English) Zbl 1029.11043 Math. Comput. 70, No. 236, 1591-1605 (2001); Corrigendum ibid. 71, No. 240, 1803-1806 (2002). Reviewer: T.Helleseth (Bergen) MSC: 11K45 11B50 11N56 11T71 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Hoffstein, Jeffrey; Silverman, Joseph Optimizations for NTRU. (English) Zbl 0987.94027 Alster, Kazimierz (ed.) et al., Public-key cryptography and computational number theory. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000. Berlin: de Gruyter. 77-88 (2001). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF
Joux, Antoine; Odlyzko, Andrew; Pierrot, Cécile The past, evolving present, and future of the discrete logarithm. (English) Zbl 1314.94006 Koç, Çetin Kaya (ed.), Open problems in mathematics and computational science. Based on the presentations at the conference, Istanbul, Turkey, September 18–20, 2013. Cham: Springer (ISBN 978-3-319-10682-3/hbk; 978-3-319-10683-0/ebook). 5-36 (2014). MSC: 94-03 94A60 11T71 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Carlet, Claude; Ding, Cunsheng Nonlinearities of S-boxes. (English) Zbl 1122.94026 Finite Fields Appl. 13, No. 1, 121-135 (2007). Reviewer: Gabriele Nebe (Aachen) MSC: 94A55 11T71 94B75 94B05 × Cite Format Result Cite Review PDF Full Text: DOI
Charpin, Pascale; Gong, Guang Hyperbent functions, Kloosterman sums, and Dickson polynomials. (English) Zbl 1184.94233 IEEE Trans. Inf. Theory 54, No. 9, 4230-4238 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 94A60 11T71 11T06 11L05 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Cunsheng; Salomaa, Arto Secret sharing schemes with nice access structures. (English) Zbl 1103.94022 Fundam. Inform. 73, No. 1-2, 51-62 (2006). MSC: 94A62 94B05 11T71 × Cite Format Result Cite Review PDF
Berger, Thierry P.; Loidreau, Pierre How to mask the structure of codes for a cryptographic use. (English) Zbl 1136.11327 Des. Codes Cryptography 35, No. 1, 63-79 (2005). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
May, Alexander; Silverman, Joseph H. Dimension reduction methods for convolution modular lattices. (English) Zbl 1006.11033 Silverman, Joseph H. (ed.), Cryptography and lattices. 1st international conference, CaLC 2001, Providence, RI, USA, March 29-30, 2001. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 2146, 110-125 (2001). MSC: 11H55 94A60 68Q10 11T71 × Cite Format Result Cite Review PDF Full Text: Link
Fu, Fang-Wei; Niederreiter, Harald; Su, Ming The expectation and variance of the joint linear complexity of random periodic multisequences. (English) Zbl 1092.94022 J. Complexity 21, No. 6, 804-822 (2005). Reviewer: Wilfried Meidl (Istanbul) MSC: 94A55 94A60 11B50 11T71 60C05 68P25 × Cite Format Result Cite Review PDF Full Text: DOI
Carlet, Claude On known and new differentially uniform functions. (English) Zbl 1279.94060 Parampalli, Udaya (ed.) et al., Information security and privacy. 16th Australasian conference, ACISP 2011, Melbourne, Australia, July 11–13, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22496-6/pbk). Lecture Notes in Computer Science 6812, 1-15 (2011). MSC: 94A60 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Koblitz, Neal; Menezes, Alfred; Shparlinski, Igor E. Discrete logarithms, Diffie-Hellman, and reductions. (English) Zbl 1277.94029 Vietnam J. Math. 39, No. 3, 267-285 (2011). MSC: 94A60 11T71 11Y16 × Cite Format Result Cite Review PDF