Information on Result #953850
Linear OOA(3164, 6564, F3, 3, 28) (dual of [(6564, 3), 19528, 29]-NRT-code), using OOA 3-folding based on linear OA(3164, 19692, F3, 28) (dual of [19692, 19528, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3164, 19693, F3, 28) (dual of [19693, 19529, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(27) ⊂ Ce(25) [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(3165, 6564, F3, 3, 28) (dual of [(6564, 3), 19527, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3164, 6564, F3, 4, 28) (dual of [(6564, 4), 26092, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3164, 6564, F3, 5, 28) (dual of [(6564, 5), 32656, 29]-NRT-code) | [i] | ||
| 4 | Digital (136, 164, 6564)-net over F3 | [i] | ||