Information on Result #953259
Linear OOA(3136, 6564, F3, 3, 23) (dual of [(6564, 3), 19556, 24]-NRT-code), using OOA 3-folding based on linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3139, 6565, F3, 3, 23) (dual of [(6565, 3), 19556, 24]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3137, 6564, F3, 3, 23) (dual of [(6564, 3), 19555, 24]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3138, 6564, F3, 3, 23) (dual of [(6564, 3), 19554, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3136, 6564, F3, 4, 23) (dual of [(6564, 4), 26120, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(3136, 6564, F3, 5, 23) (dual of [(6564, 5), 32684, 24]-NRT-code) | [i] | ||
| 6 | Digital (113, 136, 6564)-net over F3 | [i] | ||