Information on Result #1561118
Linear OOA(9102, 5053, F9, 3, 29) (dual of [(5053, 3), 15057, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9102, 5053, F9, 29) (dual of [5053, 4951, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(9102, 6566, F9, 29) (dual of [6566, 6464, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9101, 6565, F9, 29) (dual of [6565, 6464, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- 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(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(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(9101, 6565, F9, 29) (dual of [6565, 6464, 30]-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(9102, 1010, F9, 33, 29) (dual of [(1010, 33), 33228, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |