2 research outputs found
LCD Codes from tridiagonal Toeplitz matrice
Double Toeplitz (DT) codes are codes with a generator matrix of the form
with a Toeplitz matrix, that is to say constant on the diagonals
parallel to the main. When is tridiagonal and symmetric we determine its
spectrum explicitly by using Dickson polynomials, and deduce from there
conditions for the code to be LCD. Using a special concatenation process, we
construct optimal or quasi-optimal examples of binary and ternary LCD codes
from DT codes over extension fields.Comment: 16 page