@string{el = "Electronics Letters"} @string{ieeetit = "IEEE Transactions on Information Theory"} @string{mc = "Mathematics of Computation"} @string{kap = "Kluwer Academic Publishers, Boston, MA"} @string{sv = "Springer, Berlin, Germany"} @string{ieicetf = "IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences"} @article{QC82:Fast, author = "J.-J. Quisquater and C. Couvreur", title = "Fast decipherment algorithm for {RSA} public-key cryptosystem", journal = el, volume = 18, number = 21, pages = "905--907", month = oct, year = 1982} @article{DH76:New, author = "W. Diffie and M. E. Hellman", title = "New directions in cryptography", journal = ieeetit, volume = 22, pages = "644--654", month = nov, year = 1976} @article{NIST91:DSS, author = "Nation{al Institute for Standards and Technology}", title = "Digital Signature Standard {(DSS)}", journal = "Federal Register", volume = 56, pages = "169", month = aug, year = 1991} @article{K87:Elliptic, author = "N. Koblitz", title = "Elliptic curve cryptosystems", journal = mc, volume = 48, number = 177, pages = "203--209", month = jan, year = 1987} @book{M93:Elliptic, author = "A. J. Menezes", title = "Elliptic Curve Public Key Cryptosystems", publisher = kap, year = 1993} @article{K95:The, author = "B. S. Ka{liski Jr.}", title = "The {M}ontgomery inverse and its applications", journal = ieeetc, volume = 44, number = 8, month = aug, pages = "1064--1065", year = 1995} @inproceedings{SOOS95:Fast, author = "R. Schroeppel and H. Orman and S. {O'Malley} and O. Spatscheck", title = "Fast key exchange with elliptic curve systems", pages = "43--56", booktitle = "Advances in Cryptology --- CRYPTO 95", editor = "D. Coppersmith", publisher = sv, series = "{Lecture Notes in Computer Science, No. 973}", year = 1995} @article{SK00:The, author = "E. Sava\c{s} and {\c{C}}. K. Ko{\c{c}}", title = "The {M}ontgomery modular inverse - revisited", journal = ieeetc, volume = 49, number = 7, pages = "763--766", month = jul, year = 2000} @inproceedings{STK00:A, author = "E. Sava\c{s} and A. F. Tenca and {\c{C}}. K. Ko{\c{c}}", title = " A scalable and unified multiplier architecture for finite fields {GF}$(p)$ and {GF}$(2^m)$", pages = "281--296", booktitle = "Cryptographic Hardware and Embedded Systems - CHES 2000", series = "{Lecture Notes in Computer Science No. 1965}", editor = "\c{C}. K. Ko\c{c} and C. Paar", publisher = sv, year = 2000} @inproceedings{LD99:Fast, author = "J. L{\'{o}}pez and R. Dahab", title = "Fast multiplication on elliptic curves over {GF}$(2^m)$ without precomputation", pages = "316--325", booktitle = "Cryptographic Hardware and Embedded Systems", series = "{Lecture Notes in Computer Science, No. 1717}", editor = "\c{C}. K. Ko\c{c} and C. Paar", publisher = sv, year = 1999} @article{K99:Fast, author = "T. Kobayashi and H. Morita", title = "Fast modular inversion algorithm to match any operand unit", journal = ieicetf, volume = "E82--A", number = 5, pages = "733--740", month = may, year = 1999} @unpublished{H01:Efficient, author = "M. A. Hasan", title = "Efficient computation of multiplicative inverses for cryptographic applications", note = "Technical Report CORR 2001--03, Centre for Applied Cryptographic Research, University of Waterloo, Canada", year = 2001}