Information on Result #813921
Linear OOA(3134, 9855, F3, 2, 22) (dual of [(9855, 2), 19576, 23]-NRT-code), using OOA 2-folding based on linear OA(3134, 19710, F3, 22) (dual of [19710, 19576, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3134, 8165, F3, 3, 22) (dual of [(8165, 3), 24361, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3134, 8165, F3, 4, 22) (dual of [(8165, 4), 32526, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3134, 8165, F3, 5, 22) (dual of [(8165, 5), 40691, 23]-NRT-code) | [i] | ||
| 4 | Digital (112, 134, 8165)-net over F3 | [i] | ||