Welcome to the resource topic for 2023/1865
Projective Space Stern Decoding and Application to SDitH
Authors: Kevin Carrier, Valérian Hatey, Jean-Pierre TillichAbstract:
We show that here standard decoding algorithms for generic linear codes over a finite field can speeded up by a factor which is essentially the size of the finite field
by reducing it to a low weight codeword problem and working in the relevant projective space. We apply this technique to SDitH and show that the parameters of both the original
submission and the updated version fall short of meeting the security requirements asked by the NIST.
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