Information on Result #1409325
Linear OOA(3112, 7847243, F3, 2, 10) (dual of [(7847243, 2), 15694374, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3112, 7847243, F3, 10) (dual of [7847243, 7847131, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(3112, large, F3, 10) (dual of [large, large−112, 11]-code), using
- 21 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]
- 21 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(3112, 3923621, F3, 3, 10) (dual of [(3923621, 3), 11770751, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3112, 3923621, F3, 4, 10) (dual of [(3923621, 4), 15694372, 11]-NRT-code) | [i] | ||