Information on Result #1561430
Linear OOA(9110, 5615, F9, 3, 31) (dual of [(5615, 3), 16735, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9110, 5615, F9, 31) (dual of [5615, 5505, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(9110, 6570, F9, 31) (dual of [6570, 6460, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(9101, 6561, F9, 29) (dual of [6561, 6460, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 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(30) ⊂ 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(9110, 1122, F9, 33, 31) (dual of [(1122, 33), 36916, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |