Information on Result #953140
Linear OOA(3128, 6564, F3, 3, 22) (dual of [(6564, 3), 19564, 23]-NRT-code), using OOA 3-folding based on linear OA(3128, 19692, F3, 22) (dual of [19692, 19564, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3128, 19693, F3, 22) (dual of [19693, 19565, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [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(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [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(3129, 6564, F3, 3, 22) (dual of [(6564, 3), 19563, 23]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3128, 6564, F3, 4, 22) (dual of [(6564, 4), 26128, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3128, 6564, F3, 5, 22) (dual of [(6564, 5), 32692, 23]-NRT-code) | [i] | ||
| 4 | Digital (106, 128, 6564)-net over F3 | [i] | ||