Information on Result #814450
Linear OOA(3154, 9846, F3, 2, 26) (dual of [(9846, 2), 19538, 27]-NRT-code), using OOA 2-folding based on linear OA(3154, 19692, F3, 26) (dual of [19692, 19538, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(3156, 9847, F3, 2, 26) (dual of [(9847, 2), 19538, 27]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3155, 9846, F3, 2, 26) (dual of [(9846, 2), 19537, 27]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3154, 6686, F3, 3, 26) (dual of [(6686, 3), 19904, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3154, 6686, F3, 4, 26) (dual of [(6686, 4), 26590, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(3154, 6686, F3, 5, 26) (dual of [(6686, 5), 33276, 27]-NRT-code) | [i] | ||
| 6 | Digital (128, 154, 6686)-net over F3 | [i] | ||