SYMPLECTIC QSD CODES AND THEIR CLASSIFICATION OVER A NON-UNITAL NON-LOCAL RING OF ORDER FOUR
Sarra Manseri, Adel N. Alahmadi, Widyan Bassafar, Rowena Alma Betty, Lucky Galvez, Patrick Solé · HAL (Le Centre pour la Communication Scientifique Directe) · 2025
In this article, we study the duality of codes over the non-unitary non-local ring under the symplectic inner product. That is, we introduce and characterized symplectic self-dual, symplectic self-orthogonal and other notions of duality of codes in this ring. A classification of symplectic quasi self-dual codes over H is also given for short lengths.