4 papers
Embedding linear codes over Z4 into self-orthogonal codes
Junmin An, Jon-Lark Kim, San Ling
The purpose of this paper is to investigate the self-orthogonal embedding problem for linear codes over Z4. We propose several tight bounds on the length of the shortest self-ortho…
Formalizing building-up constructions of self-dual codes through isotropic lines in Lean
Jae-Hyun Baek, Jon-Lark Kim
The purpose of this paper is two-fold. First we show that Kim's building-up construction of binary self-dual codes is equivalent to Chinburg-Zhang's Hilbert symbol construction. Se…
Shortest self-orthogonal embeddings of binary linear codes
Junmin An, Nathan Kaplan, Jon-Lark Kim +2
There has been recent interest in the study of shortest self-orthogonal embeddings of binary linear codes, since many such codes are optimal self-orthogonal codes. Several authors…
How to Expand a Self-orthogonal Code
Jon-Lark Kim, Hongwei Liu, Jinquan Luo
In this paper, we show how to expand Euclidean/Hermitian self-orthogonal code preserving their orthogonal property. Our results show that every -dimension Hermitian self-orthogo…