Signing with higher dimensional isogenies

The SQISign isogeny-based post-quantum digital signature scheme introduced by De Feo, Kohel, Leroux, Petit and Wesolowski outputs very compact signatures at the expense of a high signature time. In this presentation, we recall how SQISign works and introduce a new scheme based on SQISign and the polynomial time torsion point attacks against SIDH due to Castryck, Decru, Maino, Martindale and Robert to sign with higher dimensional isogenies. This scheme remains to be implemented but we expect a significant signature time improvement, better security properties and signatures even more compact than in the original SQISign scheme.