Information on Result #689732
Linear OA(9101, 6577, F9, 28) (dual of [6577, 6476, 29]-code), using construction X applied to Ce(27) ⊂ Ce(23) based on
- linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(985, 6561, F9, 24) (dual of [6561, 6476, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-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 OA(9100, 6576, F9, 27) (dual of [6576, 6476, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(9101, 6156, F9, 2, 28) (dual of [(6156, 2), 12211, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9101, 6156, F9, 3, 28) (dual of [(6156, 3), 18367, 29]-NRT-code) | [i] | ||
| 4 | Digital (73, 101, 6156)-net over F9 | [i] | ||
| 5 | Linear OOA(9101, 3288, F9, 2, 28) (dual of [(3288, 2), 6475, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9101, 2192, F9, 3, 28) (dual of [(2192, 3), 6475, 29]-NRT-code) | [i] | ||