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Bibliography
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The GAP Group,
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M. Gardner, ``Combinatorial card problems''
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D. Hofstadler,
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Books, 1985 (Mostly a collection of Scientific American
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J. Humphreys,
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D. Joyner, Adventures in group theory,
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---, golay12.g package, at
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D. Knuth, The art of computer programming: volume 2,
3rd edition, Addison-Wesley-Longman, 1998
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R. Kreminski
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J. Lafferty, D. Rockmore, ``Spectral techniques for expander codes,''
preprint paper link
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S. Lang, Algebra, 2-nd ed., Addison-Wesley, 1984.
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R. Lidl, G. Pilz,
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Springer, 1998.
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A. Luers,
``The group structure of the pyraminx and the dodecahedral
faces of M12", USNA Honors thesis, 1997
(Advisor W. D. Joyner)
paper link
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D. MacKay, ``Good error-correcting codes based on
very sparse matrices,'' IEEE Trans. Info. Theory 45
(1999)399-431 (errata: 47(2001)2101)
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---, R. Neal, ``Near Shannon limit
performance of low density parity check codes,'' preprint,
1996 (appeared in Electronic Letters)
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F. MacWilliams and N. Sloane, The theory of error-correcting codes,
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See also N. Sloane's
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W. Bosma, J. Cannon, C. Playoust,
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See also the MAGMA homepage
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W. Bosma, J. Cannon, C. Playoust, A. Steel,
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J. Cannon, C. Playoust, An introduction to
algebraic programming with MAGMA, Univ Sydney, 1999.
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book link
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J. Montague, ``Searching with lies'', USNA Honors thesis, 1998
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of random number generators,'' Annals of Applied
Probability 1(1991)462-490
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problem of Ulam,'' Math Mag 61(1988)275-281
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P. Neumann, G. Stoy and E. Thompson,
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A. Pimlott, ``How to get rich off
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V. Pless, ``Decoding the Golay codes,''
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O. Pretzel, Codes and algebraic curves,
Oxford Lecture Series, vol 9, Clarendon Press, Oxford, 1998
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R.L. Rivest, A. Shamir, and L.M. Adleman,
``A method for obtaining digital signatures and
public-key cryptosystems,'' Communications of the ACM,
21(February 1978), 120-126
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G. Robin, ``Grandes valuers de la fonction somme
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J. J. Rotman,
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M. R. Schroeder,
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communication, 3-rd ed., Springer, 1997.
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J.-P. Serre, Trees,
Springer-Verlag, 1980
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D. Singmaster,
Notes on Rubik's magic cube, Enslow, 1981
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SINGULAR, A Computer Algebra System
for Polynomial Computations. See the
SINGULAR homepage
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D. Spielman, ``Linear time encodable and decodable
error-correcting codes,'' IEEE Trans. Info. Theory
42(1996)1723-1731
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H. Stark,
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fields of class-number one,'' Michigan Math. J.
14(1967)1-27.
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A. D. Thomas and G. V. Wood,
Group tables,
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W. Thurston,
``Conway's tiling groups,''
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S. Ulam, Adventures of a mathematician,
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A. J. van der Poorten,
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W. P. Wardlaw,
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in Coding Theory and Cryptology: From Enigma and
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Lecture Notes in Computational Science and Engineering (1999)
book link
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``Fabian Stedman: The First Group Theorist?",
American Mathematical Monthly, Nov. 1996, pp771-8.
David Joyner
2002-08-23
Last updated 5-14-2004.