Information on Result #1562356
Linear OOA(9130, 49469, F9, 3, 29) (dual of [(49469, 3), 148277, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9130, 49469, F9, 29) (dual of [49469, 49339, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(9130, 59068, F9, 29) (dual of [59068, 58938, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,9)), using
- construction X applied to Ce(28) ⊂ Ce(24) [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(9130, 9893, F9, 33, 29) (dual of [(9893, 33), 326339, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |