{"ID":5675931,"CreatedAt":"2026-07-03T01:40:09.565152011Z","UpdatedAt":"2026-07-04T17:54:59.62573241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.01340","arxiv_id":"2607.01340","title":"An alternative approach towards attacks against fully-split PLWE instances","abstract":"In the present work we address some key questions regarding the generalization of root-based attacks presented in a recent work by the authors. In particular, we analyze potential root-based attacks extensions via the construction of explicit isomorphisms from vulnerable instances, and provide a formal proof that this approach will not yield any new vulnerabilities under a fully-split setting. To do so, we first construct an explicit isomorphism between fully-split polynomial rings and polynomial rings where previous attacks apply and show that the application of such an isomorphism will always distort the samples in a way that the resulting samples cannot be used to distinguish. Then, we prove that any isomorphism between fully-split polynomial rings must be of the form of the constructed isomorphism.","short_abstract":"In the present work we address some key questions regarding the generalization of root-based attacks presented in a recent work by the authors. In particular, we analyze potential root-based attacks extensions via the construction of explicit isomorphisms from vulnerable instances, and provide a formal proof that this...","url_abs":"https://arxiv.org/abs/2607.01340","url_pdf":"https://arxiv.org/pdf/2607.01340v1","authors":"[\"Iván Blanco-Chacón\",\"Rodrigo Martín Sánchez-Ledesma\",\"Raúl Durán Díaz\"]","published":"2026-07-01T18:00:32Z","proceeding":"cs.CR","tasks":"[\"cs.CR\"]","methods":"[]","has_code":false}