Information on Result #954255
Linear OOA(3237, 59072, F3, 3, 31) (dual of [(59072, 3), 176979, 32]-NRT-code), using OOA 3-folding based on linear OA(3237, 177216, F3, 31) (dual of [177216, 176979, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 177218, F3, 31) (dual of [177218, 176981, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(316, 71, F3, 7) (dual of [71, 55, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
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(3237, 59072, F3, 4, 31) (dual of [(59072, 4), 236051, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3237, 59072, F3, 5, 31) (dual of [(59072, 5), 295123, 32]-NRT-code) | [i] | ||
| 3 | Digital (206, 237, 59072)-net over F3 | [i] | ||