arXiv AI By Amal Seddas, Vladyslav Shashkov, Maryna Viazovska, Emmanuel Abbe

Evolving Towards Better Codes: LLM-Guided Search for High-Distance Binary Linear Codes

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arXiv AI
3d ago

Coding Agents for Coding Theory

The authors report that a large‑scale experiment using a language‑model coding agent over five weeks produced new lower bounds for DNA‑barcode‑style codes. By restricting searches to codes with a prescribed symmetry, the agent improved the best known code of length 6 and minimum edit distance 3 from 114 to 120 words, and similarly raised lower bounds for lengths 6–9 and distances 3–6. The study also documents failures and the limitations of the verification protocol, noting that intermediate results were never rechecked and could lead to erroneous conclusions.

By Abraham Yeung
arXiv AI
Aug 11

Multi-agent discovery of practical quantum LDPC codes

arXiv:2608. 08996v1 Announce Type: cross Abstract: Quantum low-density parity-check (qLDPC) codes can encode multiple logical qubits using sparse parity checks, yet searching for useful finite-length instances remains a challenging design problem because code performance must be optimized while satisfying practical constraints.

By Dongheng Qian, Tianyi Li
Hugging Face Trending Papers
Jun 1

Evolutionary Discovery of Bivariate Bicycle Codes with LLM-Guided Search

Quantum LDPC code discovery requires searching large algebraic design spaces while reliably certifying the parameters and equivalence classes of any candidates found. We introduce an LLM-guided evolutionary workflow in which language models mutate Python programs that generate bivariate-bicycle and perturbed bivariate-bicycle code ansätze.