Information on Result #689440
Linear OA(980, 59073, F9, 17) (dual of [59073, 58993, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(980, 59073, F9, 2, 17) (dual of [(59073, 2), 118066, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(980, 59073, F9, 3, 17) (dual of [(59073, 3), 177139, 18]-NRT-code) | [i] | ||
| 3 | Digital (63, 80, 59073)-net over F9 | [i] | ||
| 4 | Linear OOA(980, 29536, F9, 2, 17) (dual of [(29536, 2), 58992, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(980, 19691, F9, 3, 17) (dual of [(19691, 3), 58993, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(980, 7384, F9, 17, 17) (dual of [(7384, 17), 125448, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |