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cs.IT2023
On the matrix code of quadratic relationships for a Goppa code
Rocco Mora
In this article, we continue the analysis started in \cite{CMT23} for the matrix code of quadratic relationships associated with a Goppa code. We provide new sparse and low-rank el…
cs.CR2023
A new approach based on quadratic forms to attack the McEliece cryptosystem
Alain Couvreur, Rocco Mora, Jean-Pierre Tillich
We bring in here a novel algebraic approach for attacking the McEliece cryptosystem. It consists in introducing a subspace of matrices representing quadratic forms. Those are assoc…
cs.IT2023
Polynomial time key-recovery attack on high rate random alternant codes
Magali Bardet, Rocco Mora, Jean-Pierre Tillich
A long standing open question is whether the distinguisher of high rate alternant codes or Goppa codes \cite{FGOPT11} can be turned into an algorithm recovering the algebraic struc…