Information on Result #675362
Linear OA(3217, 6590, F3, 39) (dual of [6590, 6373, 40]-code), using construction X applied to C([0,19]) ⊂ C([0,16]) based on
- linear OA(3209, 6562, F3, 39) (dual of [6562, 6353, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(3177, 6562, F3, 33) (dual of [6562, 6385, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
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(3217, 4434, F3, 2, 39) (dual of [(4434, 2), 8651, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3217, 4434, F3, 3, 39) (dual of [(4434, 3), 13085, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3217, 4434, F3, 4, 39) (dual of [(4434, 4), 17519, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3217, 4434, F3, 5, 39) (dual of [(4434, 5), 21953, 40]-NRT-code) | [i] | ||
| 5 | Digital (178, 217, 4434)-net over F3 | [i] | ||