Information on Result #1560969
Linear OOA(998, 4774, F9, 3, 28) (dual of [(4774, 3), 14224, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(998, 4774, F9, 28) (dual of [4774, 4676, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(998, 6566, F9, 28) (dual of [6566, 6468, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [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(993, 6561, F9, 26) (dual of [6561, 6468, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [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(998, 954, F9, 33, 28) (dual of [(954, 33), 31384, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |