Description

Book Synopsis

.- 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.

NumberTheoretic Methods in Cryptology

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    A Paperback by Andrzej Dabrowski

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      View other formats and editions of NumberTheoretic Methods in Cryptology by Andrzej Dabrowski

      Publisher: Springer
      Publication Date: Publication Date: 24/02/2025
      ISBN13: 9783031823794, 978-3031823794
      ISBN10:
      Also in:
      Coding theory and cryptology

      Description

      Book Synopsis

      .- 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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