Information on Result #1560694
Linear OOA(990, 49334, F9, 3, 20) (dual of [(49334, 3), 147912, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(990, 49334, F9, 20) (dual of [49334, 49244, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(990, 59068, F9, 20) (dual of [59068, 58978, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(19) ⊂ Ce(15) [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(990, 12333, F9, 27, 20) (dual of [(12333, 27), 332901, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |