Information on Result #1525818
Linear OOA(3173, 9311, F3, 3, 28) (dual of [(9311, 3), 27760, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3173, 9311, F3, 2, 28) (dual of [(9311, 2), 18449, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3173, 9861, F3, 2, 28) (dual of [(9861, 2), 19549, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3173, 19722, F3, 28) (dual of [19722, 19549, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [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(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(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3173, 19722, F3, 28) (dual of [19722, 19549, 29]-code), using
Mode: 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(3173, 4655, F3, 5, 28) (dual of [(4655, 5), 23102, 29]-NRT-code) | [i] | OOA Folding | |