Paper 2018/1029
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)
-
PDF
- 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},
url = {https://eprint.iacr.org/2018/1029}
}
