Information on Result #814861
Linear OOA(3157, 3290, F3, 2, 29) (dual of [(3290, 2), 6423, 30]-NRT-code), using OOA 2-folding based on linear OA(3157, 6580, F3, 29) (dual of [6580, 6423, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3157, 6581, F3, 29) (dual of [6581, 6424, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(28) ⊂ 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(3157, 3290, F3, 3, 29) (dual of [(3290, 3), 9713, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3157, 3290, F3, 4, 29) (dual of [(3290, 4), 13003, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3157, 3290, F3, 5, 29) (dual of [(3290, 5), 16293, 30]-NRT-code) | [i] | ||
| 4 | Digital (128, 157, 3290)-net over F3 | [i] | ||