Anuradha Sharma

Recursive construction and enumeration of self-orthogonal and self-dual codes over finite commutative chain rings of even characteristic

2025 · arXiv (Cornell University)

Let $\mathscr{R}_{e,m}$ denote a finite commutative chain ring of even characteristic with maximal ideal $\langle u \rangle$ of nilpotency index $e \geq 3,$ Teichm$\ddot{u}$ller set $\mathcal{T}_{m},$ and residue field $\mathscr{R}_{e,m}/\langle u \rangle$ of order $2^m.$ …