3 papers
cs.IT2026
A Decoding Algorithm for Composite Errors Consisting of Deletions and Insertions in Quantum Deletion-Correcting Codes Based on Quantum Reed-Solomon Codes
Koki Sasaki, Ken Nakamura, Takayuki Nozaki
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 error…
cs.IT2026
Insertion Correcting Capability for Quantum Deletion-Correcting Codes
Ken Nakamura, Takayuki Nozaki
This paper proves that any quantum t-deletion-correcting codes also correct a total of t insertion and deletion errors under a certain condition. Here, this condition is that a set…
cs.IT2024
Decoding Algorithm Correcting Single-Insertion Plus Single-Deletion for Non-binary Quantum Codes
Ken Nakamura, Takayuki Nozaki
In this paper, we assume an error such that a single insertion occurs and then a single deletion occurs. Under such an error model, this paper provides a decoding algorithm for non…