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Coding Theory

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Coding Theory

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Research Frontiers in Algebraic Geometry Codes

Construction of codes from algebraic curves and varieties achieving excellent tradeoffs between rate and minimum distance.

Arithmetic Surfaces and Error-Correcting Capacity
Modular Curves as Foundations for Asymptotically Good Codes
Rational Points on Varieties and Decoding Geometry
Toric Varieties in Code Construction and Duality
Frobenius Automorphisms and Quantum Error Correction
Intersection Theory and Code Performance Bounds
Genus Curves Beyond the Tsfasman-Vladut Limit
Galois Actions on Algebraic Code Ensembles
Divisors and Minimum Distance in Higher Dimensions
Differential Forms as Syndrome Decoding Tools

All Coding Theory PhD categories