Information on Result #1524883
Linear OOA(3159, 12069, F3, 3, 24) (dual of [(12069, 3), 36048, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3159, 12069, F3, 24) (dual of [12069, 11910, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3159, 19736, F3, 24) (dual of [19736, 19577, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(16) [i] based on
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(24) ⊂ Ce(16) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3159, 6034, F3, 5, 24) (dual of [(6034, 5), 30011, 25]-NRT-code) | [i] | OOA Folding | |