A polynomial time attack against algebraic geometry code based public key cryptosystems

A. Couvreur; I. Márquez-Corbella; G.R. Pellikaan

doi:10.1109/ISIT.2014.6875072

A polynomial time attack against algebraic geometry code based public key cryptosystems

A. Couvreur, I. Márquez-Corbella, G.R. Pellikaan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

19 Citations (Scopus)

Abstract

We give a polynomial time attack on the McEliece public key cryptosystem based on algebraic geometry codes. Roughly speaking, this attacks runs in $O(n^4)$ operations in $\mathbb F_q$, where $n$ denotes the code length. Compared to previous attacks, allows to recover a decoding algorithm for the public key even for codes from high genus curves.

Original language	English
Title of host publication	2014 IEEE International Symposium on Information Theory (ISIT'14, Honolulu HI, USA, June 29-July 4, 2014)
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1446-1450
ISBN (Print)	978-1-4799-5186-4
DOIs	https://doi.org/10.1109/ISIT.2014.6875072
Publication status	Published - 2014
Event	conference; 2014 IEEE International Symposium on Information Theory; 2014-06-29; 2014-07-04 - Duration: 29 Jun 2014 → 4 Jul 2014

Conference

Conference	conference; 2014 IEEE International Symposium on Information Theory; 2014-06-29; 2014-07-04
Period	29/06/14 → 4/07/14
Other	2014 IEEE International Symposium on Information Theory

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10.1109/ISIT.2014.6875072

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Couvreur, A., Márquez-Corbella, I., & Pellikaan, G. R. (2014). A polynomial time attack against algebraic geometry code based public key cryptosystems. In 2014 IEEE International Symposium on Information Theory (ISIT'14, Honolulu HI, USA, June 29-July 4, 2014) (pp. 1446-1450). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ISIT.2014.6875072

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abstract = "We give a polynomial time attack on the McEliece public key cryptosystem based on algebraic geometry codes. Roughly speaking, this attacks runs in $O(n^4)$ operations in $\mathbb F_q$, where $n$ denotes the code length. Compared to previous attacks, allows to recover a decoding algorithm for the public key even for codes from high genus curves.",

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Couvreur, A, Márquez-Corbella, I & Pellikaan, GR 2014, A polynomial time attack against algebraic geometry code based public key cryptosystems. in 2014 IEEE International Symposium on Information Theory (ISIT'14, Honolulu HI, USA, June 29-July 4, 2014). Institute of Electrical and Electronics Engineers, Piscataway, pp. 1446-1450, conference; 2014 IEEE International Symposium on Information Theory; 2014-06-29; 2014-07-04, 29/06/14. https://doi.org/10.1109/ISIT.2014.6875072

A polynomial time attack against algebraic geometry code based public key cryptosystems. / Couvreur, A.; Márquez-Corbella, I.; Pellikaan, G.R.

2014 IEEE International Symposium on Information Theory (ISIT'14, Honolulu HI, USA, June 29-July 4, 2014). Piscataway : Institute of Electrical and Electronics Engineers, 2014. p. 1446-1450.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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