Aarhus University Seal / Aarhus Universitets segl

Toric Surfaces, Linear and Quantum Codes Secret Sharing and Decoding

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

Dokumenter

We present toric varieties and associated toric codes and their decoding.

Toric codes are applied to construct Linear Secret Sharing Schemes (LSSS) with strong multiplication by the Massey construction.

Asymmetric Quantum Codes are obtained from toric codes by the A.R. Calderbank
P.W. Shor and
A.M. Steane construction of stabilizer codes (CSS) from linear codes containing their dual codes.

Keywords:Toric Varieties, Toric Codes, Quantum Codes,Stabilizer Code,
Multiplicative Structure, Linear Secret Sharing Schemes (LSSS), Strong Multiplication, Decoding.
OriginalsprogEngelsk
TidsskriftLMS
Antal sider26
StatusAfsendt - 11 mar. 2019

Se relationer på Aarhus Universitet Citationsformater

Download-statistik

Ingen data tilgængelig

ID: 146525757