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On the Maximal Length of MDS Elliptic Codes

cs.IT · 2026-05-28 · unverdicted · novelty 8.0

MEC(k,q) equals (q+1+floor(2 sqrt(q)))/2 when that quantity is even and (q + floor(2 sqrt(q)))/2 when odd, for the stated ranges of k and q.

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

math.AG · 2026-06-08 · unverdicted · novelty 6.0

Proves existence of positive-density hypersurfaces over finite fields intersecting a reduced equidimensional quasiprojective scheme X such that multiplicity e_P is preserved at all closed points P of the intersection.

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