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 {\bf Math 405, Term Projects\\
 due Friday December 8, 2000.\vspace{3mm}}
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Remarks: Projects can be done alone or in groups of two. Not more
than two individuals/groups should choose the same project. For
each project theme explain what the topic is about and what the
main results are. The project is `open ended' in the sense that
you are encouraged to do computer computations when appropriate
and/or provide examples and links to other research topics. The
term paper you hand in should demonstrate that you mastered that
topic.


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\item Steiner triples and Latin squares. (See Chapter 10 of
  Brualdi's book).

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\item Polya's counting formula. (See Chapter 14 of
  Brualdi's book).



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\item Huffmann encoding and data compression.

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\item Hamming codes and cyclic codes.

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\item The MacWilliams identity.

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\item Reed Solomon and BCH codes.


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\item  The new AES standard Rijndael. See
http://csrc.nist.gov/encryption/aes/


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\item  Linear feedback shift registers with large period.

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\item Probabilistic primality tests. (Solovay-Strassen and
  Miller-Rabin test).


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\item  The NTRU public key crypto system. See\\
http://www.ntru.com/technology/tech.technical.htm

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\item Elliptic curve public key systems.




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