Information on Result #676384
Linear OA(351, 734, F3, 12) (dual of [734, 683, 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(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(351, 542, F3, 2, 12) (dual of [(542, 2), 1033, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(351, 542, F3, 3, 12) (dual of [(542, 3), 1575, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(351, 542, F3, 4, 12) (dual of [(542, 4), 2117, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(351, 542, F3, 5, 12) (dual of [(542, 5), 2659, 13]-NRT-code) | [i] | ||
| 5 | Digital (39, 51, 542)-net over F3 | [i] | ||