Information on Result #893924
Linear OOA(5142, 8388602, F5, 2, 15) (dual of [(8388602, 2), 16777062, 16]-NRT-code), using trace code based on linear OOA(2571, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5144, large, F5, 2, 15) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5146, large, F5, 2, 15) | [i] | ||
| 3 | Linear OOA(5148, large, F5, 2, 15) | [i] | ||
| 4 | Linear OOA(5150, large, F5, 2, 15) | [i] | ||
| 5 | Linear OOA(5143, 8388602, F5, 2, 15) (dual of [(8388602, 2), 16777061, 16]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(5142, 4194301, F5, 3, 15) (dual of [(4194301, 3), 12582761, 16]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(5142, 2097150, F5, 18, 15) (dual of [(2097150, 18), 37748558, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |