Number-Theoretic Methods in Cryptology

.- Invited Talks.

.- On the efficient representation of isogenies.

.- Elliptic-curves factoring, witnesses and oracles.

.- Elliptic Curves in Cryptography.

.- On chains of pairing-friendly elliptic curves.

.- Faster algorithms for isogeny computations over extensions of finite fields.

.- Integral solutions of some systems of polynomial equations and constructing families of pairing-friendly elliptic curves with small ?-value.

.- Number Theory.

.- Algebraic Equipage for Learning with Errors in Cyclic Division Algebras.

.- From Worst to Average Case to Incremental Search Bounds of the Strong Lucas Test.

.- Algebraic Structures and Public-Key Cryptography.

.- A New Public Key Cryptosystem Based on the Cubic Pell Curve.

.- The Case of Small Prime Numbers Versus the Okamoto-Uchiyama Cryptosystem.

.- Compartment-based and Hierarchical Threshold Delegated Verifiable Accountable Subgroup Multi-signatures.

.- Towards message recovery in NTRU Encryption with auxiliary data.

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• Teoria da codificação e criptologia
• Algoritmos e estruturas de dados
• Encriptação de dados
• Matemática para cientistas da computação
• A matemática discreta
• Teoria dos números
• Engenharia do software
• Tecnologia da informação: aspectos gerais

pairing-friendly elliptic curves;elliptic-curve factorization with oracles;isogenies of abelian varieties;post-quantum cryptography;public key cryptography;learning with errors;lattices;Okamoto-Uchiyama cryptosystems;primality tests;RSA;proxy signatures;NTRU encryption algorithm