Paper 2014/064 Original: eprint.iacr.org/2014/064 ↗

A Polynomial Time Attack against Algebraic Geometry Code Based Public Key Cryptosystems

Alain Couvreur
Irene Márquez-Corbella
Ruud Pellikaan
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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2014-01-28: last updated
2014-01-28: published
Short URL
https://ia.cr/2014/064
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2014/064,
      author = {Alain Couvreur and Irene Márquez-Corbella and Ruud Pellikaan},
      title = {A Polynomial Time Attack against Algebraic Geometry Code Based Public Key Cryptosystems},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/064},
      year = {2014},
      url = {https://eprint.iacr.org/2014/064}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.