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Comparison of XL and Gröbner basis algorithms over Finite Fields
This paper compares the XL algorithm with Gröbner basis algorithm. We explain the link between XL computation result and Gröbner basis with the well-known notion of... -
Polynomial systems solving and elliptic curve cryptography
Since the last decade, attacks on the elliptic curve discrete logarithm problem (ECDLP) which requires to solve polynomial systems have been quite successful. This... -
Structural Cryptanalysis of McEliece Schemes with Compact Keys
International audience
