@book{Chor:1986, key = "Chor 1986", author = "B.-Z. Chor", title = "Two Issues in Public Key Cryptography: RSA Bit Security and a New Knapsack Type System", publisher = MIT, address = "Cambridge, Mass.", year = 1986} @article{Koblitz:1987b, key = "Koblitz 1987b", author = "N. Koblitz", title = "Elliptic curve cryptosystems", journal = MC, volume = 48, year = "{\noopsort{1987b}}1987", pages = "203-209"} @incollection{Buchmann&Williams:1990, key = "Buchmann and Williams 1990", author = "J. Buchmann and H. C. Williams", title = "Quadratic fields and cryptography", booktitle = "Number Theory and Cryptography", editor = "J. H. Loxton", publisher = "Cambridge University Press", series = "London Mathematical Society Lecture Note Series", year = 1990, volume = 154, pages = "9-25"} @incollection{Lidl:1990, key = "Lidl 1990", author = "R. Lidl", title = "Some mathematical aspects of recent advances in cryptology", booktitle = "Number Theory and Cryptography", editor = "J. H. Loxton", publisher = "Cambridge University Press", series = "London Mathematical Society Lecture Note Series", year = 1990, volume = 154, pages = "1-8"} @article{Okamoto:1990, key = "Okamoto 1990", author = "T. Okamoto", title = "A fast signature scheme based on congruential polynomial operations", journal = IEEE-IT, volume = 36, year = 1990, pages = "47-53"} @article{Adams&Meijer:1989, key = "C. Adams and Meijer 1989", author = "C. M. Adams and H. Meijer", title = "Security-related comments regarding {McEliece}'s public-key cryptosystem", journal = IEEE-IT, volume = 35, year = 1989, pages = "454-455"} @unpublished{McCurley:1988, key = "McCurley 1988", author = "K. S. McCurley", title = "Cryptographic key distribution and computation in class groups", year = 1988, note = "Manuscript"} @incollection{Agnew&Mullin&Vanstone:1990, key = "Agnew, Mullin, and Vanstone 1990", author = "G. B. Agnew and R. C. Mullin and S. A. Vanstone", title = "A fast elliptic curve cryptosystem", booktitle = EUROCRYPT89, editor = "J.-J. Quisquater and J. Vandewalle", year = 1990, publisher = SV, pages = "706-708"} @incollection{Scheidler&Buchmann&Williams:1991, key = "Scheidler, Buchmann, and Williams 1991", author = "R. Scheidler and J. A. Buchmann and H. C. Williams", title = "Implementation of a key exchange protocol using real quadratic fields", booktitle = EUROCRYPT90, editor = "I. B. Damg\aa rd", publisher = SV, series = LNICS, volume = 473, year = 1991, pages = "98-109"} @incollection{Brickell&McCurley:1991, key = "Brickell and McCurley 1991", author = "E. F. Brickell and K. S. McCurley", title = "An interactive identification scheme based on discrete logarithms and factoring", booktitle = EUROCRYPT90, editor = "I. B. Damg\aa rd", publisher = SV, series = LNICS, volume = 473, year = 1991, pages = "63-71"} @article{Brickell&McCurley:1992, key = "Brickell and McCurley 1992", author = "E. F. Brickell and K. S. McCurley", title = "An interactive identification scheme based on discrete logarithms and factoring", journal = JC, volume = 5, year = 1992, pages = "29-39"} @incollection{Stern&Toffin:1991, key = "Stern and Toffin 1991", author = "J. Stern and P. Toffin", title = "Cryptanalysis of a public-key cryptosystem based on approximations by rational numbers", booktitle = EUROCRYPT90, editor = "I. B. Damg\aa rd", publisher = SV, series = LNICS, volume = 473, year = 1991, pages = "313-317"} @incollection{Girault:1991, key = "Girault 1991", author = "M. Girault", title = "An identity-based identification scheme based on discrete logarithms modulo a composite number", booktitle = EUROCRYPT90, editor = "I. B. Damg\aa rd", publisher = SV, series = LNICS, volume = 473, year = 1991, pages = "481-486"} @incollection{Shizuya&Koyama&Itoh:1990, key = "Shizuya, Koyama, and Itoh 1990", author = "H. Shizuya and K. Koyama and T. Itoh", title = "Demonstrating possession without revealing factors and its application", booktitle = AUSCRYPT90, editor = "J. Seberry and J. Pieprzyk", publisher = SV, series = LNICS, volume = 453, year = 1990, pages = "273-293"} @article{Coppersmith:1987a, key = "Coppersmith 1987a", author = "D. Coppersmith", title = "Cryptography", journal = IBMJ, volume = 31, year = "{\noopsort{1987a}}1987", pages = "244-248"} @incollection{Kompella&Adleman:1991, key = "Kompella and Adleman 1991", author = "K. Kompella and L. M. Adleman", title = "Fast checkers for cryptography", booktitle = CRYPTO90, editor = "A. J. Menezes and S. A. Vanstone", publisher = SV, year = 1991, series = LNICS, volume = 537, pages = "515-529"} @incollection{van.Oorschot:1991, key = "van Oorschot 1991", author = "Oorschot, P. C. van", title = "A comparison of practical public-key cryptosystems based on integer factorization and discrete logarithms", booktitle = CRYPTO90, editor = "A. J. Menezes and S. A. Vanstone", publisher = SV, year = 1991, series = LNICS, volume = 537, pages = "576-581"} @incollection{Okamoto&Sakurai:1992, key = "Okamoto and Sakurai 1992", author = "T. Okamoto and K. Sakurai", title = "Efficient algorithms for the construction of hyperelliptic cryptosystems", booktitle = CRYPTO91, editor = "J. Feigenbaum", publisher = SV, year = 1992, series = LNICS, volume = 576, pages = "267-278"} @incollection{Koyama&Maurer&Okamoto&Vanstone:1992, key = "Koyama, Maurer, Okamoto, and Vanstone 1992", author = "K. Koyama and U. M. Maurer and T. Okamoto and S. A. Vanstone", title = "New public-key schemes based on elliptic curves over the ring {$\Zee_n$}", booktitle = CRYPTO91, editor = "J. Feigenbaum", publisher = SV, year = 1992, series = LNICS, volume = 576, pages = "252-266"} @incollection{Agnew&Mullin&Vanstone:1993, key = "Agnew, Mullin, and Vanstone 1993", author = "G. B. Agnew and R. C. Mullin and S. A. Vanstone", title = "On the development of a fast elliptic curve cryptosystem", booktitle = EUROCRYPT92, editor = "R. A. Rueppel", series = LNICS, volume = 658, year = 1993, publisher = SV, pages = "482-487"} @incollection{Harper&Menezes&Vanstone:1993, key = "Harper, Menezes, and Vanstone 1993", author = "G. Harper and A. Menezes and S. A. Vanstone", title = "Public-key cryptosystems with very small key lengths", booktitle = EUROCRYPT92, editor = "R. A. Rueppel", series = LNICS, volume = 658, year = 1993, publisher = SV, pages = "163-173"} @incollection{Muller:1985, key = "M{\"u}ller 1985", author = "W. B. M{\"u}ller", title = "Polynomial functions in modern cryptology", booktitle = "Contributions to General Algebra 3", editor = "{Eigenthaler et al.}, G.", publisher = "H{\"o}lder--Pichler--Tempsky", address = "Vienna", year = 1985, pages = "193-197"} @article{Shimada:1992, key = "Shimada 1992", author = "M. Shimada", title = "Another practical public-key cryptosystem", journal = ELETT, volume = 28, year = 1992, pages = "2146-2147"} @article{LenstraH:1991c, key = "H. W. Lenstra 1991c", author = "Lenstra, Jr., H. W.", title = "On the {Chor-Rivest} knapsack cryptosystem", journal = JC, volume = 3, year = 1991, pages = "149-155"} @article{Yen&Laih:1993b, key = "Yen and Laih 1993b", author = "S.-M. Yen and C.-S. Laih", title = "New digital signature scheme based on discrete logarithm", journal = ELETT, volume = 29, year = "{\noopsort{1993b}}1993", pages = "1120-1121"} @incollection{Buchmann:1991, key = "Buchmann 1991", author = "J. Buchmann", title = "Number theoretic algorithms and cryptology", booktitle = FCT91, series = LNICS, volume = 529, publisher = SV, address = NYC, year = 1991, editor = "L. Budach", pages = "16-21"} @incollection{Piper&Stephens:1993, key = "Piper and Stephens 1993", author = "F. Piper and N. Stephens", title = "Digital signatures: {RSA} or {El} {Gamal?}", editor = "M. J. Ganley", booktitle = "Cryptography and Coding III", publisher = "Clarendon Press", address = "Oxford", year = 1991, pages = "311-319"} @incollection{Miyaji:1993, key = "Miyaji 1993", author = "A. Miyaji", title = "Elliptic curves over {$\Fp$} suitable for cryptosystems", booktitle = AUSCRYPT92, editor = "J. Seberry and Y. Zheng", series = LNICS, volume = 718, year = 1993, publisher = SV, pages = "479-491"} @incollection{Demytko:1994, key = "Demytko 1994", author = "N. Demytko", title = "A new elliptic curve based analogue of {RSA}", booktitle = EUROCRYPT93, series = LNICS, editor = "T. Helleseth", volume = 765, year = 1994, publisher = SV, pages = "40-49"} @article{Scheidler&Williams:1995, key = "Scheidler and Williams 1995", author = "R. Scheidler and H. C. Williams", title = "A public-key cryptosystem utilizing cyclotomic fields", journal = DCC, volume = 6, year = 1995, pages = "117-131"} @article{Harn&Kiesler:1989, key = "Harn and Kiesler 1989", author = "L. Harn and T. Kiesler", title = "Improved {Rabin's} scheme with high efficiency", journal = ELETT, volume = 25, year = 1989, pages = "726-728"} @article{Kurosawa:1987, key = "Kurosawa 1987", author = "K. Kurosawa", title = "$k$th least significant bit of a plaintext in reciprocal number cryptosystem", journal = ELETT, volume = 23, year = 1987, pages = "810-811"} @article{Kurosawa&Ito&Takeuchi:1987, key = "Kurosawa, Ito, and Takeuchi 1987", author = "K. Kurosawa and T. Ito and M. Takeuchi", title = "Public key cryptosystem using a reciprocal number with same intractability as factoring a large number", journal = ELETT, volume = 23, year = 1987, pages = "809-810"} @incollection{Fellows&Koblitz:1994, key = "Fellows and Koblitz 1994", author = "M. Fellows and N. Koblitz", title = "Combinatorial cryptosystems galore!", booktitle = "Finite Fields: Theory, Applications, and Algorithms", series = "Contemporary Mathematics", volume = 168, publisher = AMS, year = 1994, editor = "G. L. Mullen and P. J.-S. Shiue", pages = "51-61"}