## CryptoDB

### Paper: Reducing the Key Size of McEliece Cryptosystem from Automorphism-induced Goppa Codes via Permutations

Authors: Zhe Li Chaoping Xing Sze Ling Yeo DOI: 10.1007/978-3-030-17259-6_20 Search ePrint Search Google PKC 2019 In this paper, we propose a new general construction to reduce the public key size of McEliece cryptosystems constructed from automorphism-induced Goppa codes. In particular, we generalize the ideas of automorphism-induced Goppa codes by considering nontrivial subsets of automorphism groups to construct Goppa codes with a nice block structure. By considering additive and multiplicative automorphism subgroups, we provide explicit constructions to demonstrate our technique. We show that our technique can be applied to automorphism-induced Goppa codes based cryptosystems to further reduce their key sizes.
##### BibTeX
@inproceedings{pkc-2019-29314,
title={Reducing the Key Size of McEliece Cryptosystem from Automorphism-induced Goppa Codes via Permutations},
booktitle={Public-Key Cryptography – PKC 2019},
series={Lecture Notes in Computer Science},
publisher={Springer},
volume={11443},
pages={599-617},
doi={10.1007/978-3-030-17259-6_20},
author={Zhe Li and Chaoping Xing and Sze Ling Yeo},
year=2019
}