Information on Result #674631
Linear OA(3183, 177176, F3, 25) (dual of [177176, 176993, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3155, 177148, F3, 21) (dual of [177148, 176993, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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 OA(3184, 177177, F3, 25) (dual of [177177, 176993, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3182, 177175, F3, 24) (dual of [177175, 176993, 25]-code) | [i] | Truncation | |
| 3 | Linear OOA(3183, 88588, F3, 2, 25) (dual of [(88588, 2), 176993, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3183, 44294, F3, 4, 25) (dual of [(44294, 4), 176993, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(3183, 35435, F3, 5, 25) (dual of [(35435, 5), 176992, 26]-NRT-code) | [i] | ||