21.02.2013 Views

Goppa Codes - Department of Mathematics

Goppa Codes - Department of Mathematics

Goppa Codes - Department of Mathematics

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>Goppa</strong> <strong>Codes</strong> Key One Chung<br />

✬<br />

Contents<br />

1. Introduction<br />

1.1 Linear <strong>Codes</strong><br />

1.2 Bounds on <strong>Codes</strong><br />

1.3 Reed-Solomon <strong>Codes</strong><br />

2. <strong>Goppa</strong> <strong>Codes</strong><br />

2.1 Introduction to <strong>Goppa</strong> <strong>Codes</strong><br />

2.2 Algebraic and Projective Curves<br />

2.3 Nonsingularity and the Genus<br />

2.4 Points, Functions, Divisors on Curves<br />

2.5 Good <strong>Codes</strong> from Algebraic geometry<br />

3. McEliece Cryptosystem<br />

✫<br />

✩<br />

✪<br />

Page 2

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!