Cryptology ePrint Archive: Report 2018/1029

Reducing the Key Size of McEliece Cryptosystem from Goppa Codes via Permutations

Zhe Li and Chaoping Xing and Sze Ling Yeo

Abstract: In this paper, we propose a new general construction to reduce the public key size of McEliece-based schemes based on 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. In addition, we show that our technique can be applied to automorphism-induced Goppa codes to further reduce their key sizes.

Category / Keywords: secret-key cryptography / McEliece cryptosystem, automorphism-incuded Goppa codes, quasi-cyclic

Date: received 23 Oct 2018

Contact author: lzonline01 at gmail com, xingcp@ntu edu sg, slyeo@i2r a-star edu sg

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Version: 20181026:131253 (All versions of this report)

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