| Popis: |
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed&ndash
Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional Schur squares, and we identify a subfamily of twisted Hermitian codes that achieves a Schur square dimension close to that of a random linear code. Twisted Hermitian codes allow one to work over smaller alphabets than those based on Reed&ndash
Solomon codes of similar lengths. |
