Codes and Curves - Walker, Judy

Codes and Curves

Judy Walker

Yayınevi: American Mathematical Society AMS

Yayın tarihi: 06/2000

ISBN: 9780821826287

İngilizce | 66 Sayfa |

Tür: Matematik-İstatistik

  • Temin Süresi 56 - 63 iş günü

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This monograph is based on a series of lectures the author gave as part of the IAS/PCMI program on arithmetic algebraic geometry. Here, the reader is introduced to the exciting field of algebraic geometric coding theory. Presenting the material in the same conversational tone of the lectures, the author covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the parameters of codes. Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors. The construction of algebraic geometric codes is given, and the Tsfasman-Vladut-Zink result mentioned above it discussed.

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