Information on Result #1413636
Linear OOA(3184, 3393, F3, 2, 34) (dual of [(3393, 2), 6602, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3184, 3393, F3, 34) (dual of [3393, 3209, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3184, 6588, F3, 34) (dual of [6588, 6404, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
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(3184, 1696, F3, 4, 34) (dual of [(1696, 4), 6600, 35]-NRT-code) | [i] | OOA Folding | |