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This book constitutes the refereed post-conference proceedings of the 4th International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2024, held in Szczecin, Poland, during June 24–26, 2024. The 9 full papers and 2 invited papers presented in this book were carefully reviewed and selected from 12 submissions.
.- 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 ρ-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.