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

Zhe Li, Chaoping Xing, and Sze Ling Yeo

##### Abstract

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.

##### Metadata
Available format(s)
Category
Secret-key cryptography
Publication info
A minor revision of an IACR publication in PKC 2019
Keywords
McEliece cryptosystemautomorphism-incuded Goppa codesquasi-cyclic
Contact author(s)
lzonline01 @ gmail com
xingcp @ ntu edu sg
slyeo @ i2r a-star edu sg
History
2019-01-15: revised
2018-10-26: received
See all versions
Short URL
https://ia.cr/2018/1029
License

CC BY

BibTeX

@misc{cryptoeprint:2018/1029,
author = {Zhe Li and Chaoping Xing and Sze Ling Yeo},
title = {Reducing the Key Size of McEliece Cryptosystem from Automorphism-induced Goppa Codes via Permutations},
howpublished = {Cryptology ePrint Archive, Paper 2018/1029},
year = {2018},
note = {\url{https://eprint.iacr.org/2018/1029}},
url = {https://eprint.iacr.org/2018/1029}
}

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