Information on Result #676385
Linear OA(352, 743, F3, 12) (dual of [743, 691, 13]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- linear OA(349, 730, F3, 13) (dual of [730, 681, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- 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(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(352, 605, F3, 2, 12) (dual of [(605, 2), 1158, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(352, 605, F3, 3, 12) (dual of [(605, 3), 1763, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(352, 605, F3, 4, 12) (dual of [(605, 4), 2368, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(352, 605, F3, 5, 12) (dual of [(605, 5), 2973, 13]-NRT-code) | [i] | ||
| 5 | Digital (40, 52, 605)-net over F3 | [i] | ||