Information on Result #689367
Linear OA(9132, 59060, F9, 30) (dual of [59060, 58928, 31]-code), using construction X applied to Ce(29) ⊂ Ce(27) 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(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(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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(9133, 59061, F9, 30) (dual of [59061, 58928, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9132, 41137, F9, 2, 30) (dual of [(41137, 2), 82142, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9132, 41137, F9, 3, 30) (dual of [(41137, 3), 123279, 31]-NRT-code) | [i] | ||
| 4 | Digital (102, 132, 41137)-net over F9 | [i] | ||
| 5 | Linear OOA(9132, 29530, F9, 2, 30) (dual of [(29530, 2), 58928, 31]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9132, 19686, F9, 3, 30) (dual of [(19686, 3), 58926, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(9132, 3937, F9, 30, 30) (dual of [(3937, 30), 117978, 31]-NRT-code) | [i] | OA Folding and Stacking | |