Information on Result #893979
Linear OOA(792, 8388602, F7, 2, 10) (dual of [(8388602, 2), 16777112, 11]-NRT-code), using trace code based on linear OOA(4946, 4194301, F49, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4946, 8388602, F49, 10) (dual of [8388602, 8388556, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-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(794, large, F7, 2, 10) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(796, large, F7, 2, 10) | [i] | ||
| 3 | Linear OOA(798, large, F7, 2, 10) | [i] | ||
| 4 | Linear OOA(7100, large, F7, 2, 10) | [i] | ||
| 5 | Linear OOA(7102, large, F7, 2, 10) | [i] | ||
| 6 | Linear OOA(7104, large, F7, 2, 10) | [i] | ||
| 7 | Linear OOA(7106, large, F7, 2, 10) | [i] | ||
| 8 | Linear OOA(7108, large, F7, 2, 10) | [i] | ||
| 9 | Linear OOA(7110, large, F7, 2, 10) | [i] | ||
| 10 | Linear OOA(793, 8388602, F7, 2, 10) (dual of [(8388602, 2), 16777111, 11]-NRT-code) | [i] | OOA Duplication | |
| 11 | Linear OOA(792, 4194301, F7, 3, 10) (dual of [(4194301, 3), 12582811, 11]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(792, 2796200, F7, 14, 10) (dual of [(2796200, 14), 39146708, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |