Information on Result #689698
Linear OA(9131, 6571, F9, 37) (dual of [6571, 6440, 38]-code), using construction X applied to Ce(36) ⊂ Ce(33) based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9121, 6561, F9, 34) (dual of [6561, 6440, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(9130, 6570, F9, 36) (dual of [6570, 6440, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(9131, 6068, F9, 2, 37) (dual of [(6068, 2), 12005, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9131, 6068, F9, 3, 37) (dual of [(6068, 3), 18073, 38]-NRT-code) | [i] | ||
| 4 | Digital (94, 131, 6068)-net over F9 | [i] | ||
| 5 | Linear OOA(9131, 3285, F9, 2, 37) (dual of [(3285, 2), 6439, 38]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9131, 2190, F9, 3, 37) (dual of [(2190, 3), 6439, 38]-NRT-code) | [i] | ||