3 papers
hep-th2026
Error-correcting codes over the Mordell-Weil groups of extremal rational elliptic surfaces and the lattice
Shun'ya Mizoguchi, Takumi Oikawa
We construct the lattice from classical error-correcting codes over the Mordell-Weil groups of rational elliptic surfaces that have a singularity lattice of rank 8 (maximal)…
hep-th2026
Error correcting codes and heterotic Narain CFTs
Shun'ya Mizoguchi, Takumi Oikawa
We study error correcting codes that construct the Narain lattices of heterotic strings as code lattices. We identify, in both and Spin heterotic strings,…
hep-th2025
Unifying error-correcting code/Narain CFT correspondences via lattices over integers of cyclotomic fields
Shun'ya Mizoguchi, Takumi Oikawa
We identify Narain conformal field theories (CFTs) that correspond to code lattices for quantum error-correcting codes (QECC) over integers of cyclotomic fields $(ζ_p=e^…