Information on Result #1563344
Linear OOA(9148, 519361, F9, 3, 27) (dual of [(519361, 3), 1557935, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9148, 519361, F9, 27) (dual of [519361, 519213, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9148, 531462, F9, 27) (dual of [531462, 531314, 28]-code), using
- 1 times truncation [i] based on linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,9)), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- 1 times truncation [i] based on linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-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(9148, 103872, F9, 33, 27) (dual of [(103872, 33), 3427628, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |