Number-Theoretic Methods in Cryptology

This book constitutes the refereed post-conference proceedings of the Fourth International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2024, held in Szczecin, Poland, during June 2426, 2024.

The 9 full papers and 2 invited papers presented in this book were carefully reviewed and selected from 12 submissions. They were organized in topical sections as follows: invited talks; elliptic curves in cryptography; number theory; algebraic structures and public-key cryptography.

Contenu

.- 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.