Paper 2025/531
Understanding the new distinguisher of alternant codes at degree 2
Abstract
Distinguishing Goppa codes or alternant codes from generic
linear codes [FGO+11] has been shown to be a first step before being
able to attack McEliece cryptosystem based on those codes [BMT24].
Whereas the distinguisher of [FGO+11] is only able to distinguish Goppa
codes or alternant codes of rate very close to 1, in [CMT23a] a much more
powerful (and more general) distinguisher was proposed. It is based on
computing the Hilbert series
Metadata
- Available format(s)
-
PDF
- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- Keywords
- McEliece cryptosystemalgebraic attacksdistinguishers
- Contact author(s)
-
axel lemoine @ inria fr
rocco mora @ cispa de
jean-pierre tillich @ inria fr - History
- 2025-03-23: approved
- 2025-03-21: received
- See all versions
- Short URL
- https://ia.cr/2025/531
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2025/531, author = {Axel Lemoine and Rocco Mora and Jean-Pierre Tillich}, title = {Understanding the new distinguisher of alternant codes at degree 2}, howpublished = {Cryptology {ePrint} Archive, Paper 2025/531}, year = {2025}, url = {https://eprint.iacr.org/2025/531} }