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cs.IT2026
New bounds for codes over Gaussian integers based on the Mannheim distance
Minjia Shi, Xuan Wang, Junmin An +1
We study linear codes over Gaussian integers equipped with the Mannheim distance. We develop Mannheim-metric analogues of several classical bounds. We derive an explicit formula fo…
cs.IT2024
Triorthogonal Codes and Self-dual Codes
Minjia Shi, Haodong Lu, Jon-Lark Kim +1
Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct bin…
cs.IT2023
A quaternary analogue of Tang-Ding codes
Minjia Shi, Sihui Tao, Jon-Lark Kim +1
In a recent paper, Tang and Ding introduced a class of binary cyclic codes of rate close to one half with a designed lower bound on their minimum distance. The definition involves…