  Toric varieties and their associated toric codes, as well as determination of
their parameters with intersection theory, are presented in the two dimensional
case.
  Linear Secret Sharing Schemes with strong multiplication are constructed from
toric varieties and codes by the J. L. 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 from
linear codes containing their dual codes.
  Decoding of a class of toric codes is presented.

Algebraic Geometry;Cryptography and Security