Information on Result #1524096
Linear OOA(3146, 2826, F3, 3, 28) (dual of [(2826, 3), 8332, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3146, 2826, F3, 2, 28) (dual of [(2826, 2), 5506, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3146, 3285, F3, 2, 28) (dual of [(3285, 2), 6424, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3146, 6570, F3, 28) (dual of [6570, 6424, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(31, 9, F3, 1) (dual of [9, 8, 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
- OOA 2-folding [i] based on linear OA(3146, 6570, F3, 28) (dual of [6570, 6424, 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(3146, 1413, F3, 5, 28) (dual of [(1413, 5), 6919, 29]-NRT-code) | [i] | OOA Folding | |