Information on Result #1560629
Linear OOA(988, 38645, F9, 3, 20) (dual of [(38645, 3), 115847, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(988, 38645, F9, 20) (dual of [38645, 38557, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(988, 59059, F9, 20) (dual of [59059, 58971, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [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(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- construction X applied to Ce(19) ⊂ Ce(16) [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(988, 9661, F9, 27, 20) (dual of [(9661, 27), 260759, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |