The improvements on quantum technology are threatening our daily cybersecurity, as a capable quantum computer can break all currently employed asymmetric cryptosystems. In preparation for the quantum-era the National Institute of Standards and Technology (NIST) has initiated in 2016 a standardization process for public-key encryption (PKE) schemes, key-encapsulation mechanisms (KEM) and digital signature schemes. In 2023, NIST made an additional call for post-quantum signatures. With this chapter we aim at providing a survey on code-based cryptography, focusing on PKEs and signature schemes. We cover the main frameworks introduced in code-based cryptography and analyze their security assumptions. We provide the mathematical background in a lecture notes style, with the intention of reaching a wider audience.
@article{arxiv.2201.07119,
title = {A Survey on Code-Based Cryptography},
author = {Violetta Weger and Niklas Gassner and Joachim Rosenthal},
journal= {arXiv preprint arXiv:2201.07119},
year = {2024}
}
Comments
This book chapter is a part of the Springer Lecture Notes in Mathematics: Coding Theory and Applications V, Applications of Coding Theory in Quantum Computing and Cryptography