4 papers
Shortest LCD embeddings of binary, ternary and quaternary linear codes
Junmin An, Ji-Hoon Hong, Jon-Lark Kim +1
In the recent years, there has been active research on self-orthogonal embeddings of linear codes since they yielded some optimal self-orthogonal codes. LCD codes have a trivial hu…
Soohak: A Mathematician-Curated Benchmark for Evaluating Research-level Math Capabilities of LLMs
Guijin Son, Seungone Kim, Catherine Arnett +73
Following the recent achievement of gold-medal performance on the IMO by frontier LLMs, the community is searching for the next meaningful and challenging target for measuring LLM…
Symmetric Sudoku-Type Games from Perfect Codes
Junmin An, Jae-Hyun Baek, Keon-Hwi Kim +2
This paper presents a novel construction method for symmetric Sudoku-type games based on Lee distance perfect codes and diameter perfect codes. The proposed method utilizes the til…
Log-Concave Sequences in Coding Theory
Minjia Shi, Xuan Wang, Junmin An +1
We introduce the notion of logarithmically concave (or log-concave) sequences in Coding Theory. A sequence of real numbers is called log-concave if $a_i^2 \g…