Information on Result #689705
Linear OA(9103, 6571, F9, 29) (dual of [6571, 6468, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(9101, 6561, F9, 29) (dual of [6561, 6460, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(993, 6561, F9, 26) (dual of [6561, 6468, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
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 OA(9104, 6572, F9, 29) (dual of [6572, 6468, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9103, 5483, F9, 2, 29) (dual of [(5483, 2), 10863, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9103, 5483, F9, 3, 29) (dual of [(5483, 3), 16346, 30]-NRT-code) | [i] | ||
| 4 | Digital (74, 103, 5483)-net over F9 | [i] | ||
| 5 | Linear OOA(9103, 3285, F9, 2, 29) (dual of [(3285, 2), 6467, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9103, 2190, F9, 3, 29) (dual of [(2190, 3), 6467, 30]-NRT-code) | [i] | ||