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Design concepts for matrices and lattices in LiDIA

Published: 01 April 1997 Publication History
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References

[1]
Babai, L.: On Lovksz' Lattice Reduction and the Nearest Lattice Point Problem. Combinatorica 6, 1-13 (1986).
[2]
Barton, J.J., and Nackman, L.R.: Scientillc and Engineering C++- An Introduction with Advanced Techniques and Examples. Addison Wesley (1994).
[3]
Batut, C., Bernardi, D., Cohen, H., and Olivier, M.: User's Guide to PARLGP. University of Bordeaux, ftp://megrez, math. u-bordraux.fr (1995).
[4]
Biehl, I., Buchmann, J., and Papanikolaou, T.: LiDIA: A Library for Computational Number Theory. Technical Report 03/95, SFB 124, Universit~t des Saarlandes (1995).
[5]
Buchmann, J., and Kessler, V.: Computing a Reduced Lattice Basis from a Generating System. Preprint, Universitat des Saarlandes (1992).
[6]
Char, B.W., Geddes, K.O., Gonnet, G.H., Leong, B.L., Monagan, M.B., and Watt, S.M.: Maple V Library Reference Manual. Springer-Verlag and Waterloo Maple Publishing ( 1991).
[7]
Cohen, H.: A Course in Computational AIgebra/c Number Theory. Second Edition, Springer Verlag Heidelberg (1993).
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Finckc, U., and Pohst, M.: Improved Methods for Calculation Vectors of Short Length in a Lattice, including a Complexity Analysis. Math. Comp. 44, 463-471 (1995).
[9]
Kernighan, B.W., and Pu'tchie, D.M~: The C Programming Language. Second Edition, Prentice Hall, EngJewood Cliffs, New Jersey (1988).
[10]
Lenstra, A. K., Lenstra, H. W. Jr., and Lovksz, L.: Factoring Polynomials with Rational Coefficients. Math. Ann. 261, 515-534 (1982).
[11]
LiDIA Group: LiDIA Manual. Universitat des Saarlandes/TH Darmstadt, see LiDIA homepage: http://www-jb, ca. uni-sb, de/LiDIl/linkhtml/lidia /lidia.html (1996).
[12]
Schnorr, C.P., and Euchner, M.: Lattice Basis Reduction: Improved Practical Algorithms and Solving Subset Sum Problems. Springer Lecture Notes in Computer Science LNCS 529, 68-85 (1991).
[13]
Stroustrup, B.: The C+-t- Programming Language. Second Edition, Addison Wesley (1991).
[14]
Vcldhuizen, T.: Expression Templates. Developer Information and Resources, Rogue Wave Software, Inc. (1994).
[15]
Wolfram, S.: Mathematica - A System for Doing Mathematics by Computer. Second Edition, Addison Wesley (1991).

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cover image ACM Conferences
SAC '97: Proceedings of the 1997 ACM symposium on Applied computing
April 1997
545 pages
ISBN:0897918509
DOI:10.1145/331697
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Published: 01 April 1997

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  1. lattice concept
  2. matrix concept
  3. template kernel
  4. template modules

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