3 papers
cs.IT2026
The Optimal Asymptotic Rate of Generalized Covering Codes
Hengzhuo Li, Chong Shangguan, Hengjia Wei
Let be an alphabet of size . We determine the optimal asymptotic rate of generalized covering codes , whose covering centers in ar…
cs.IT2026
Explicit Rank Extractors and Subspace Designs via Function Fields, with Applications to Strong Blocking Sets
Zeyu Guo, Roshan Raj, Chong Shangguan +1
We give new explicit constructions of several fundamental objects in linear-algebraic pseudorandomness and combinatorics, including lossless rank extractors, weak subspace designs,…
cs.IT2024
Constrained coding upper bounds via Goulden-Jackson cluster theorem
Yuanting Shen, Chong Shangguan, Zhicong Lin +1
Motivated by applications in DNA-based data storage, constrained codes have attracted a considerable amount of attention from both academia and industry. We study the maximum cardi…