Author

Zhong-Hua Sun

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Preprint Sep 2026

Subspace coverings and generalized covering radii of generalized Zetterberg codes

Generalized covering radii measure how many columns of a parity-check matrix are needed to generate several syndromes simultaneously. Their finite-geometric counterparts are $(\rho,t)$-saturating sets, for which every $t$-dimensional subspace is contained in a subspace generated by at most $\rho$ prescribed vectors. We...

Shi-Tao Li, Yang Li, Gao-Jun Luo et al. · 1 citation

Preprint Aug 2026

Constructing Good Abelian Codes via Shift Bounds and Genetic Algorithms

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 derive lower bounds on the minimum distance using a generalized shift bound, which extends the classical van Lint-Wilson bound for cyclic cod...

Cong Yu, Hao Chen, Zhong-Hua Sun et al. · 0 citations