2 papers
cs.IT2026
Constructing Good Abelian Codes via Shift Bounds and Genetic Algorithms
Cong Yu, Hao Chen, Zhonghua Sun +1
This paper investigates the construction of linear codes via abelian codes over finite fields. By exploiting the algebraic structure of multivariate polynomial quotient rings, we d…
cs.IT2026
Generalized Extended Codes with Applications in Entanglement-Assisted Qubit and Qutrit Codes
Yang Li, Martianus Frederic Ezerman, Shitao Li +2
We prove that any generalized extended code is monomially equivalent to the Hermitian dual of a code which is closely related to a second kind of extended code of $\C^{\perp_{\rm H…