Information on Result #686867
Linear OA(8153, 32800, F8, 34) (dual of [32800, 32647, 35]-code), using construction X applied to Ce(33) ⊂ Ce(27) based on
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(8154, 32801, F8, 34) (dual of [32801, 32647, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8155, 32802, F8, 34) (dual of [32802, 32647, 35]-code) | [i] | ||
| 3 | Linear OOA(8153, 32800, F8, 2, 34) (dual of [(32800, 2), 65447, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8153, 32800, F8, 3, 34) (dual of [(32800, 3), 98247, 35]-NRT-code) | [i] | ||
| 5 | Digital (119, 153, 32800)-net over F8 | [i] | ||
| 6 | Linear OA(8154, 32802, F8, 34) (dual of [32802, 32648, 35]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OOA(8153, 16400, F8, 2, 34) (dual of [(16400, 2), 32647, 35]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8153, 10933, F8, 3, 34) (dual of [(10933, 3), 32646, 35]-NRT-code) | [i] | ||