3 papers
math.AC2026
Toward a unified theory for common affine roots of general sets of multivariate polynomials
Olav Geil
For univariate polynomials over arbitrary field the degree gives an upper bound on the number of roots (factor theorem) and as a related result for any finite point-set one can con…
cs.CR2026
On secret sharing from extended norm-trace curves
Olav Geil
In [4] Camps-Moreno et al. treated (relative) generalized Hamming weights of codes from extended norm-trace curves and they gave examples of resulting good asymmetric quantum error…
cs.IT2026
Considerate Ramp Secret Sharing
Olav Geil
In this work we revisit the fundamental findings by Chen et al. in [5] on general information transfer in linear ramp secret sharing schemes to conclude that their method not only…