Information on Result #1602387
Linear OOA(392, 4194302, F3, 4, 9) (dual of [(4194302, 4), 16777116, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(392, 4194302, F3, 2, 9) (dual of [(4194302, 2), 8388512, 10]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(390, 4194301, F3, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
Mode: 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(393, 4194302, F3, 4, 9) (dual of [(4194302, 4), 16777115, 10]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(392, 4194301, F3, 5, 9) (dual of [(4194301, 5), 20971413, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(392, 4194301, F3, 12, 9) (dual of [(4194301, 12), 50331520, 10]-NRT-code) | [i] | ||