Information on Result #815529
Linear OOA(3206, 9855, F3, 2, 34) (dual of [(9855, 2), 19504, 35]-NRT-code), using OOA 2-folding based on linear OA(3206, 19710, F3, 34) (dual of [19710, 19504, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(3206, 8536, F3, 3, 34) (dual of [(8536, 3), 25402, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3206, 8536, F3, 4, 34) (dual of [(8536, 4), 33938, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3206, 8536, F3, 5, 34) (dual of [(8536, 5), 42474, 35]-NRT-code) | [i] | ||
| 4 | Digital (172, 206, 8536)-net over F3 | [i] | ||