Abstract
Error correction codes defined over real-number field have been studied and recognized as useful in many applications. However, most real-number codes in literature are quite suspect in their numerical stability. In this paper, we introduce a class of real-number codes based on random generator matrices over real-number fields. Codes over complex-number field are also discussed. Experiment results demonstrate our codes are numerically much more stable than existing codes in literature.
| Original language | English |
|---|---|
| Pages (from-to) | 115-122 |
| Number of pages | 8 |
| Journal | Lecture Notes in Computer Science |
| Volume | 3514 |
| Issue number | I |
| DOIs | |
| State | Published - 2005 |
| Externally published | Yes |
| Event | 5th International Conference on Computational Science - ICCS 2005 - Atlanta, GA, United States Duration: May 22 2005 → May 25 2005 |
Funding
★ This research was supported in part by the Los Alamos National Laboratory under Contract No. 03891-001-99 49 and the Applied Mathematical Sciences Research Program of the Office of Mathematical, Information, and Computational Sciences, U.S. Department of Energy under contract DE-AC05-00OR22725 with UT-Battelle, LLC.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy | DE-AC05-00OR22725 |
| Los Alamos National Laboratory | 03891-001-99 49 |