Information on Result #689401
Linear OA(9130, 59068, F9, 29) (dual of [59068, 58938, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) 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(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,9)), 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(9130, 49469, F9, 2, 29) (dual of [(49469, 2), 98808, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9130, 49469, F9, 3, 29) (dual of [(49469, 3), 148277, 30]-NRT-code) | [i] | ||
| 3 | Digital (101, 130, 49469)-net over F9 | [i] | ||
| 4 | Linear OOA(9130, 29534, F9, 2, 29) (dual of [(29534, 2), 58938, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9130, 19689, F9, 3, 29) (dual of [(19689, 3), 58937, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(9130, 4219, F9, 29, 29) (dual of [(4219, 29), 122221, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |