Information on Result #689333
Linear OA(9126, 59054, F9, 29) (dual of [59054, 58928, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) 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(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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
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 OA(9127, 59055, F9, 29) (dual of [59055, 58928, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9150, 59138, F9, 29) (dual of [59138, 58988, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(9126, 29527, F9, 2, 29) (dual of [(29527, 2), 58928, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9126, 19684, F9, 3, 29) (dual of [(19684, 3), 58926, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(9126, 4218, F9, 29, 29) (dual of [(4218, 29), 122196, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |