Emma Helmdach

Deep Tomographic Extensions of the Body–Tail Super-Sieve: Optimizing the General Number Field Sieve (GNFS) via Ultra-Large Orthogonal Rings

2026 · Zenodo (CERN European Organization for Nuclear Research)

We extend the multi-component "body–tail" residue framework into ultra-large orthogonal rings to optimize the relationship collection phase of the General Number Field Sieve (GNFS). While classical GNFS mitigates complexity through parallel algebraic and rational sieving …