Information on Result #689374
Linear OA(997, 59060, F9, 22) (dual of [59060, 58963, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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 OOA(997, 39487, F9, 2, 22) (dual of [(39487, 2), 78877, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(997, 39487, F9, 3, 22) (dual of [(39487, 3), 118364, 23]-NRT-code) | [i] | ||
| 3 | Digital (75, 97, 39487)-net over F9 | [i] | ||
| 4 | Linear OOA(997, 29530, F9, 2, 22) (dual of [(29530, 2), 58963, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(997, 19686, F9, 3, 22) (dual of [(19686, 3), 58961, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(997, 5369, F9, 22, 22) (dual of [(5369, 22), 118021, 23]-NRT-code) | [i] | OA Folding and Stacking | |