Symplectic codes over a non-unitary ring
Sarra Manseri, Rowena Alma Betty, Lucky Galvez, Patrick Solé · Journal of Algebra and Its Applications · 2025
In this paper, we consider the commutative non-unitary ring of order four defined as [Formula: see text] Self-orthogonal codes for a symplectic inner product over [Formula: see text] are introduced. A mass formula to enumerate them under symplectic equivalence is given. An application is a classification of such codes in short lengths.