Information on Result #1561081
Linear OOA(9101, 6156, F9, 3, 28) (dual of [(6156, 3), 18367, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9101, 6156, F9, 28) (dual of [6156, 6055, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9101, 6577, F9, 28) (dual of [6577, 6476, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(985, 6561, F9, 24) (dual of [6561, 6476, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), using
- construction X applied to Ce(27) ⊂ Ce(23) [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(9101, 1231, F9, 33, 28) (dual of [(1231, 33), 40522, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |