Information on Result #689421
Linear OA(955, 59068, F9, 12) (dual of [59068, 59013, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(955, 59068, F9, 2, 12) (dual of [(59068, 2), 118081, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(955, 59068, F9, 3, 12) (dual of [(59068, 3), 177149, 13]-NRT-code) | [i] | ||
| 3 | Digital (43, 55, 59068)-net over F9 | [i] | ||
| 4 | Linear OOA(955, 29534, F9, 2, 12) (dual of [(29534, 2), 59013, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(955, 19689, F9, 3, 12) (dual of [(19689, 3), 59012, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(955, 9844, F9, 12, 12) (dual of [(9844, 12), 118073, 13]-NRT-code) | [i] | OA Folding and Stacking | |