Information on Result #676386
Linear OA(338, 743, F3, 9) (dual of [743, 705, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(337, 730, F3, 9) (dual of [730, 693, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(325, 730, F3, 7) (dual of [730, 705, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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
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(338, 556, F3, 2, 9) (dual of [(556, 2), 1074, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(338, 556, F3, 3, 9) (dual of [(556, 3), 1630, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(338, 556, F3, 4, 9) (dual of [(556, 4), 2186, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(338, 556, F3, 5, 9) (dual of [(556, 5), 2742, 10]-NRT-code) | [i] | ||
| 5 | Digital (29, 38, 556)-net over F3 | [i] | ||