Information on Result #689719
Linear OA(935, 6571, F9, 10) (dual of [6571, 6536, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(925, 6561, F9, 7) (dual of [6561, 6536, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(936, 6572, F9, 10) (dual of [6572, 6536, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(935, 5343, F9, 2, 10) (dual of [(5343, 2), 10651, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(935, 5343, F9, 3, 10) (dual of [(5343, 3), 15994, 11]-NRT-code) | [i] | ||
| 4 | Digital (25, 35, 5343)-net over F9 | [i] | ||
| 5 | Linear OA(936, 6573, F9, 10) (dual of [6573, 6537, 11]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(935, 3285, F9, 2, 10) (dual of [(3285, 2), 6535, 11]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(935, 2190, F9, 3, 10) (dual of [(2190, 3), 6535, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(935, 1314, F9, 10, 10) (dual of [(1314, 10), 13105, 11]-NRT-code) | [i] | OA Folding and Stacking | |