Information on Result #1409281
Linear OOA(3111, 6840327, F3, 2, 10) (dual of [(6840327, 2), 13680543, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3111, 6840327, F3, 10) (dual of [6840327, 6840216, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(3111, large, F3, 10) (dual of [large, large−111, 11]-code), using
- 20 times code embedding in larger space [i] based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 20 times code embedding in larger space [i] based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-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(3111, 3420163, F3, 3, 10) (dual of [(3420163, 3), 10260378, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3111, 3420163, F3, 4, 10) (dual of [(3420163, 4), 13680541, 11]-NRT-code) | [i] | ||