Computational evaluation of the Syzygy distinguisher for code-based cryptography

Semester project (Communications and Signal Processing Group, Imperial) under Prof. Cong Ling, spring 2026—ongoing: implement the Macaulay-matrix approach to compute linear-strand Betti numbers of code ideals, run reproducible experiments on random versus structured code families, and analyse when alternant and Goppa codes deviate measurably from random-code behaviour for the Syzygy-based distinguisher.