Information on Result #689697
Linear OA(9135, 6571, F9, 38) (dual of [6571, 6436, 39]-code), using construction X applied to Ce(37) ⊂ Ce(34) based on
- linear OA(9133, 6561, F9, 38) (dual of [6561, 6428, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(9125, 6561, F9, 35) (dual of [6561, 6436, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(9136, 6572, F9, 38) (dual of [6572, 6436, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9135, 6340, F9, 2, 38) (dual of [(6340, 2), 12545, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9135, 6340, F9, 3, 38) (dual of [(6340, 3), 18885, 39]-NRT-code) | [i] | ||
| 4 | Digital (97, 135, 6340)-net over F9 | [i] | ||
| 5 | Linear OA(9136, 6573, F9, 38) (dual of [6573, 6437, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(9135, 3285, F9, 2, 38) (dual of [(3285, 2), 6435, 39]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9135, 2190, F9, 3, 38) (dual of [(2190, 3), 6435, 39]-NRT-code) | [i] | ||