3 research outputs found
Several classes of Galois self-orthogonal MDS codes
Let be an odd prime power and be an integer with . -Galois self-orthogonal codes are generalizations of Euclidean
self-orthogonal codes () and Hermitian self-orthogonal codes
( and is even). In this paper, we propose two general
methods of constructing several classes of -Galois self-orthogonal
generalized Reed-Solomn codes and extended generalized Reed-Solomn codes with
. We can determine all possible -Galois self-orthogonal maximum
distance separable codes of certain lengths for each even and odd prime
number .Comment: 18 pages, 9 table