Information on Result #675113
Linear OA(3239, 19705, F3, 40) (dual of [19705, 19466, 41]-code), using construction X applied to Ce(39) ⊂ Ce(36) 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(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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 OA(3240, 19706, F3, 40) (dual of [19706, 19466, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3241, 19707, F3, 40) (dual of [19707, 19466, 41]-code) | [i] | ||
| 3 | Linear OOA(3239, 9852, F3, 2, 40) (dual of [(9852, 2), 19465, 41]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3239, 6568, F3, 3, 40) (dual of [(6568, 3), 19465, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(3239, 4926, F3, 4, 40) (dual of [(4926, 4), 19465, 41]-NRT-code) | [i] | ||
| 6 | Linear OOA(3239, 3941, F3, 5, 40) (dual of [(3941, 5), 19466, 41]-NRT-code) | [i] | ||