Information on Result #1015899
Linear OOA(934, 19694, F9, 3, 7) (dual of [(19694, 3), 59048, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(93, 10, F9, 3, 3) (dual of [(10, 3), 27, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;27,9) [i]
- linear OOA(931, 19684, F9, 3, 7) (dual of [(19684, 3), 59021, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(931, 59052, F9, 7) (dual of [59052, 59021, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(926, 59049, F9, 6) (dual of [59049, 59023, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code), using
- OOA 3-folding [i] based on linear OA(931, 59052, F9, 7) (dual of [59052, 59021, 8]-code), using
Mode: Constructive and 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(9140, 5612096, F9, 3, 14) (dual of [(5612096, 3), 16836148, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9148, 5612096, F9, 3, 15) (dual of [(5612096, 3), 16836140, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(934, 19693, F9, 9, 7) (dual of [(19693, 9), 177203, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |