The 95256-cap in PG(12; 4) is complete
We describe an algorithm for testing the completeness of caps in PG(r; q), q even. It allowed us to check that the 95256-cap in PG(12; 4) recently found by Fu el al. (see [14]) is complete.
math.CO↗
arXiv subjects
F. Pambianco
Publications and source records attributed to F. Pambianco.
The non-existence of a [[13,5,4]] quantum stabilizer code
We solve one of the oldest problems in the theory of quantum stabilizer codes by proving the non-existence of quantum [[13,5,4]]-codes.
cs.IT↗
On complete arcs arising from plane curves
We show that the set of F_q-rational points of either certain Fermat curves or certain F_q-Frobenius non-classical plane curves is a complete (k,d)-arc in P^2(F_q), where k and d are respectively the number of F_q-rational points and the degree of the underlying curve.
math.AG↗