Information on Result #675245
Linear OA(3234, 19754, F3, 36) (dual of [19754, 19520, 37]-code), using construction X applied to Ce(36) ⊂ Ce(27) based on
- 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(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(317, 71, F3, 7) (dual of [71, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(317, 80, F3, 7) (dual of [80, 63, 8]-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(3234, 12560, F3, 2, 36) (dual of [(12560, 2), 24886, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3234, 12560, F3, 3, 36) (dual of [(12560, 3), 37446, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3234, 12560, F3, 4, 36) (dual of [(12560, 4), 50006, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3234, 12560, F3, 5, 36) (dual of [(12560, 5), 62566, 37]-NRT-code) | [i] | ||
| 5 | Digital (198, 234, 12560)-net over F3 | [i] | ||
| 6 | Linear OOA(3234, 9877, F3, 2, 36) (dual of [(9877, 2), 19520, 37]-NRT-code) | [i] | OOA Folding | |