Information on Result #985834
Linear OOA(9131, 19684, F9, 3, 30) (dual of [(19684, 3), 58921, 31]-NRT-code), using OOA 3-folding based on linear OA(9131, 59052, F9, 30) (dual of [59052, 58921, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(9131, 59054, F9, 30) (dual of [59054, 58923, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(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(29) ⊂ Ce(28) [i] based on
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(9149, 19712, F9, 3, 30) (dual of [(19712, 3), 58987, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9150, 19714, F9, 3, 30) (dual of [(19714, 3), 58992, 31]-NRT-code) | [i] | ||