Hindering reaction attacks by using monomial codes in the McEliece cryptosystem

Autor:	Santini, Paolo, Baldi, Marco, Cancellieri, Giovanni, Chiaraluce, Franco
Rok vydání:	2018
Předmět:	Computer Science - Information Theory Computer Science - Cryptography and Security
Druh dokumentu:	Working Paper
Popis:	In this paper we study recent reaction attacks against QC-LDPC and QC-MDPC code-based cryptosystems, which allow an opponent to recover the private parity-check matrix through its distance spectrum by observing a sufficiently high number of decryption failures. We consider a special class of codes, known as monomial codes, to form private keys with the desirable property of having a unique and complete distance spectrum. We verify that for these codes the problem of recovering the secret key from the distance spectrum is equivalent to that of finding cliques in a graph, and use this equivalence to prove that current reaction attacks are not applicable when codes of this type are used in the McEliece cryptosystem. Comment: 5 pages, 0 figures, 1 table, accepted for presentation at the 2018 IEEE International Symposium on Information Theory (ISIT)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.04722 Zobrazit plný text záznamu View this record from Arxiv