Information on Result #686847
Linear OA(8117, 32794, F8, 26) (dual of [32794, 32677, 27]-code), using construction X applied to Ce(25) ⊂ Ce(20) based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(86, 26, F8, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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 OOA(8117, 32434, F8, 2, 26) (dual of [(32434, 2), 64751, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8117, 32434, F8, 3, 26) (dual of [(32434, 3), 97185, 27]-NRT-code) | [i] | ||
| 3 | Digital (91, 117, 32434)-net over F8 | [i] | ||
| 4 | Linear OOA(8117, 16397, F8, 2, 26) (dual of [(16397, 2), 32677, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8117, 10931, F8, 3, 26) (dual of [(10931, 3), 32676, 27]-NRT-code) | [i] | ||