Welcome to the resource topic for 2018/1029
Title:
Reducing the Key Size of McEliece Cryptosystem from Automorphism-induced Goppa Codes via Permutations
Authors: Zhe Li, Chaoping Xing, 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.
ePrint: https://eprint.iacr.org/2018/1029
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