| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5777377 | European Journal of Combinatorics | 2017 | 5 Pages |
Abstract
The Golomb-Welch conjecture states that there are no perfect e-error-correcting codes in Zn for nâ¥3 and eâ¥2. In this note, we prove the nonexistence of perfect 2-error-correcting codes for a certain class of n, which is expected to be infinite. This result further substantiates the Golomb-Welch conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Dongryul Kim,