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- 1
- G. S. Ammar and W. G. Gragg, Superfast solution of
real positive definite Toeplitz systems, SIAM J. Matrix Anal.
Appl., 9 (1988), 61-76.
- 2
- R. R. Bitmead and B. D. O. Anderson, Asymptotically
fast solution of Toeplitz and related systems of linear equations,
Lin. Alg. Appl. 34 (1980), 103-116.
- 3
- I. F. Blake, R. Fuji-Hara, R. C. Mullin, and
S. A. Vanstone, Computing logarithms in fields of characteristic two, SIAM J. Alg. Disc. Methods 5 (1984), 276-285.
- 4
- R. P. Brent, F. G. Gustavson, and D. Y. Y. Yun, Fast
solution of Toeplitz systems of equations and computation of Padé
approximants, J. Algorithms 1 (1980), 259-295.
- 5
- D. Coppersmith, Fast evaluation of
discrete logarithms in fields of characteristic two, IEEE
Trans. on Information Theory 30 (1984), 587-594.
- 6
- D. Coppersmith and J. H. Davenport, An
application of factoring, J. Symbolic Computation 1 (1985), 241-243.
- 7
- D. Coppersmith, A. Odlyzko, and R. Schroeppel,
Discrete logarithms in GF(p), Algorithmica 1 (1986),
1-15.
- 8
- D. Coppersmith and S. Winograd,
Matrix multiplication via arithmetic progressions,
Proc. 19th ACM Symp. Theory Comp. (1987), 1-6.
- 9
- M. R. Hestenes and E. Stiefel, Methods of
conjugate gradients for solving linear systems,
J. Res. Nat. Bureau of Standards 49 (1952), 409-436.
- 10
- B. A. LaMacchia and A. M. Odlyzko, Computation of
discrete logarithms in prime fields, Designs, Codes, and
Cryptography 1 (1991), to appear.
- 11
- C. Lanczos, Solution of systems of linear equations
by minimized iterations, J. Res. Nat. Bureau of Standards 49
(1952), 33-53.
- 12
- A. K. Lenstra and M. S. Manasse,
Factoring by electronic mail, Advances in Cryptology: Proceedings
of Eurocrypt '89, J.-J. Quisquater, ed., to be published.
- 13
- A. K. Lenstra and M. S. Manasse, Factoring with two
large primes, Advances in Cryptology: Proceedings of Eurocrypt
'90, I. Damgard, ed., to be published.
- 14
- K. S. McCurley,
The discrete logarithm problem, in Cryptography and Computational
Number Theory, C. Pomerance, ed., Proc. Symp. Appl. Math., Amer.
Math. Soc., 1990, to appear.
- 15
- J. L. Massey, Shift-register synthesis and BCH decoding,
IEEE Trans. Information Theory IT-15 (1969), 122-127.
- 16
- W. H. Mills, Continued fractions and linear recurrences,
Math. Comp. 29 (1975), 173-180.
- 17
- A. M. Odlyzko, Discrete logarithms in finite fields and
their cryptographic significance, Advances in Cryptology:
Proceedings of Eurocrypt '84, T. Beth, N. Cot, I. Ingemarsson, eds.,
Lecture Notes in Computer Science 209, Springer-Verlag,
NY (1985), 224-314.
- 18
- C. Pomerance, Analysis and comparison of
some integer factoring algorithms, Computational Methods in Number
Theory: Part 1, H. W. Lenstra, Jr., and R. Tijdeman, eds., Math.
Centre Tract 154 (1982), Math. Centre Amsterdam, 89-139.
- 19
- C. Pomerance, Factoring, in Cryptography and
Computational Number Theory, C. Pomerance, ed., Proc. Symp. Appl.
Math., Amer. Math. Soc., 1990, to appear.
- 20
- C. Pomerance and J. W. Smith,
Reduction of large, sparse matrices over a finite field via created
catastrophes, manuscript in preparation.
- 21
- V. Strassen, Gaussian elimination is not optimal,
Numerische Math. 13 (1969), 354-356.
- 22
- D. H. Wiedemann, Solving sparse linear
equations over finite fields, IEEE Trans. Information Theory IT-32
(1986), 54-62.
- 23
- J. H. Wilkinson, The Algebraic Eigenvalue Problem,
Oxford Univ. Press, 1965.
Brian A. LaMacchia
1999-10-25