Decoding Algorithm to Composite Errors Consisting of Deletions and Insertions for Quantum Deletion-Correcting Codes Based on Quantum Reed-Solomon Codes
信息论
2026-05-13 v1 math.IT
摘要
This paper focuses on Hagiwara codes, which are quantum deletion-correcting codes constructed by the quantum Reed-Solomon codes. Although Hagiwara codes can correct composite errors consisting of deletions and insertions, an efficient decoding algorithm to such errors remains an open problem. In this paper, we provide a decoding algorithm to such errors for Hagiwara codes.
引用
@article{arxiv.2605.11510,
title = {Decoding Algorithm to Composite Errors Consisting of Deletions and Insertions for Quantum Deletion-Correcting Codes Based on Quantum Reed-Solomon Codes},
author = {Koki Sasaki and Ken Nakamura and Takayuki Nozaki},
journal= {arXiv preprint arXiv:2605.11510},
year = {2026}
}
备注
8 pages, submitted to ISITA 2026