Information on Result #736939
Linear OA(3250, 19743, F3, 39) (dual of [19743, 19493, 40]-code), using construction X applied to Ce(39) ⊂ Ce(31) based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), 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(3250, 11871, F3, 2, 39) (dual of [(11871, 2), 23492, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3250, 11871, F3, 3, 39) (dual of [(11871, 3), 35363, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 11871, F3, 4, 39) (dual of [(11871, 4), 47234, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 11871, F3, 5, 39) (dual of [(11871, 5), 59105, 40]-NRT-code) | [i] | ||
| 5 | Digital (211, 250, 11871)-net over F3 | [i] | ||
| 6 | Linear OOA(3250, 9871, F3, 2, 39) (dual of [(9871, 2), 19492, 40]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3250, 6581, F3, 3, 39) (dual of [(6581, 3), 19493, 40]-NRT-code) | [i] | ||
| 8 | Linear OOA(3250, 4935, F3, 4, 39) (dual of [(4935, 4), 19490, 40]-NRT-code) | [i] | ||
| 9 | Linear OOA(3250, 3948, F3, 5, 39) (dual of [(3948, 5), 19490, 40]-NRT-code) | [i] | ||