Projective k-arcs and 2-level secret-sharing schemes

Authors:
Gábor Korchmáros;Valentino Lanzone;Angelo Sonnino
Affiliations:
Dipartimento di Matematica e Informatica, Università della Basilicata, Potenza, Italy 85100;Dipartimento di Matematica e Informatica, Università della Basilicata, Potenza, Italy 85100;Dipartimento di Matematica e Informatica, Università della Basilicata, Potenza, Italy 85100
Venue:
Designs, Codes and Cryptography
Year:
2012

Citing 3
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How to (really) share a secret

CRYPTO '88 Proceedings on Advances in cryptology
On 2-level secret sharing

Designs, Codes and Cryptography
Finite fields

Finite fields

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Abstract

Motivated by applications to 2-level secret sharing schemes, we investigate k-arcs contained in a (q + 1)-arc Γ of PG(3, q), q even, which have only a small number of focuses on a real axis of Γ. Doing so, we also investigate hyperfocused and sharply focused arcs contained in a translation oval of PG(2, q).