ISBN-10:
9048162572
ISBN-13:
9789048162574
Pub. Date:
12/01/2010
Publisher:
Springer Netherlands
Coding Theory and Number Theory / Edition 1

Coding Theory and Number Theory / Edition 1

by T. Hiramatsu, Gïnter Kïhler

Paperback

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Product Details

ISBN-13: 9789048162574
Publisher: Springer Netherlands
Publication date: 12/01/2010
Series: Mathematics and Its Applications , #554
Edition description: Softcover reprint of hardcover 1st ed. 2003
Pages: 148
Product dimensions: 6.69(w) x 9.61(h) x 0.01(d)

Table of Contents

1. Linear Codes.- 2. Diophantine Equations and Cyclic Codes.- 3. Elliptic Curves, Hecke Operators and Weight Distribution of Codes.- 4. Algebraic-Geometric Codes and Modular Curve Codes.- 5. Theta Functions and Self-Dual Codes.- The Kloosterman Codes and Distribution of the Weights.- 1 Introduction.- 2 Melas code and Kloosterman sums.- 3 Hyper-Kloosterman code.- 4 Quasi-cyclic property.- 5 Weight distribution.- 7 A divisibility theorem for Hamming weights.- References.

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