Algebraic Geometry for Coding Theory and Cryptography

Algebraic Geometry for Coding Theory and Cryptography

IPAM, Los Angeles, CA, February 2016

Howe, Everett W.; Walker, Judy L.; Lauter, Kristin E.

Springer International Publishing AG

08/2018

150

Mole

Inglês

9783319876757

15 a 20 dias

454

Descrição não disponível.
1. Representations of the Multicast Network Problem.- 2. Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory.- 3. Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication.- 4. Locally recoverable codes from algebraic curves and surfaces.- 5. Variations of the McEliece Cryptosystem.
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Algebraic geometry;network-constrained generator matrices;isogenies for genus-2 curves;pairing-based cryptography;coding theory;trace-zero subgroups;codes with locality constraints;affine and projective algebraic sets;Frobenius conjugates;elliptic and hyperelliptic curves;public key cryptography;post-quantum cryptography;modular polynomials