Information on Result #953377
Linear OOA(3178, 59056, F3, 3, 24) (dual of [(59056, 3), 176990, 25]-NRT-code), using OOA 3-folding based on linear OA(3178, 177168, F3, 24) (dual of [177168, 176990, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3178, 177170, F3, 24) (dual of [177170, 176992, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
Mode: Constructive and 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(3178, 59056, F3, 4, 24) (dual of [(59056, 4), 236046, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3178, 59056, F3, 5, 24) (dual of [(59056, 5), 295102, 25]-NRT-code) | [i] | ||
| 3 | Digital (154, 178, 59056)-net over F3 | [i] | ||