Information on Result #689706
Linear OA(999, 6571, F9, 28) (dual of [6571, 6472, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) 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(989, 6561, F9, 25) (dual of [6561, 6472, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(9100, 6572, F9, 28) (dual of [6572, 6472, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(999, 5196, F9, 2, 28) (dual of [(5196, 2), 10293, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(999, 5196, F9, 3, 28) (dual of [(5196, 3), 15489, 29]-NRT-code) | [i] | ||
| 4 | Digital (71, 99, 5196)-net over F9 | [i] | ||
| 5 | Linear OOA(999, 3285, F9, 2, 28) (dual of [(3285, 2), 6471, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(999, 2190, F9, 3, 28) (dual of [(2190, 3), 6471, 29]-NRT-code) | [i] | ||