49 citations · 193 across the 33 of their papers we have counts for
25 papers · 1 filter
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…
On Steane-Enlargement of Quantum Codes from Cartesian Product Point Sets
René Bødker Christensen, Olav Geil
In this work, we study quantum error-correcting codes obtained by using Steane-enlargement. We apply this technique to certain codes defined from Cartesian products previously cons…
Steane-Enlargement of Quantum Codes from the Hermitian Curve
René Bødker Christensen, Olav Geil
In this paper, we study the construction of quantum codes by applying Steane-enlargement to codes from the Hermitian curve. We cover Steane-enlargement of both usual one-point Herm…
On nested code pairs from the Hermitian curve
René Bødker Christensen, Olav Geil
Nested code pairs play a crucial role in the construction of ramp secret sharing schemes [Kurihara et al. 2012] and in the CSS construction of quantum codes [Ketkar et al. 2006]. T…
New binary and ternary LCD codes
Carlos Galindo, Olav Geil, Fernando Hernando +1
LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters w…
Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives
Olav Geil, Umberto Martínez-Peñas
We upper bound the number of common zeros over a finite grid of multivariate polynomials and an arbitrary finite collection of their consecutive Hasse derivatives (in a coordinate-…