Information on Result #689427
Linear OA(9150, 59073, F9, 33) (dual of [59073, 58923, 34]-code), using construction X applied to Ce(32) ⊂ Ce(28) based on
- linear OA(9146, 59049, F9, 33) (dual of [59049, 58903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-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(9150, 59073, F9, 2, 33) (dual of [(59073, 2), 117996, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9150, 59073, F9, 3, 33) (dual of [(59073, 3), 177069, 34]-NRT-code) | [i] | ||
| 3 | Digital (117, 150, 59073)-net over F9 | [i] | ||
| 4 | Linear OOA(9150, 29536, F9, 2, 33) (dual of [(29536, 2), 58922, 34]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9150, 19691, F9, 3, 33) (dual of [(19691, 3), 58923, 34]-NRT-code) | [i] | ||
| 6 | Linear OOA(9150, 3692, F9, 33, 33) (dual of [(3692, 33), 121686, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |