Abstract—The high repair cost of (n;k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of MDS codes, called Repair MDS codes, that can signific...
Quantum stabilizer states over Fm can be represented as self-dual additive codes over Fm2 . These codes can be represented as weighted graphs, and orbits of graphs under the genera...
The purpose of this paper is to construct nontrivial MDS self-dual codes over Galois rings. We consider a building-up construction of self-dual codes over Galois rings as a GF(q)-...
We construct new MDS or near-MDS self-dual codes over large finite fields. In particular we show that there exists a Euclidean self-dual MDS code of length n = q over GF(q) wheneve...