Information on Result #686531
Linear OA(891, 262174, F8, 17) (dual of [262174, 262083, 18]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(86, 30, F8, 4) (dual of [30, 24, 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(891, 240543, F8, 2, 17) (dual of [(240543, 2), 480995, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(891, 240543, F8, 3, 17) (dual of [(240543, 3), 721538, 18]-NRT-code) | [i] | ||
| 3 | Digital (74, 91, 240543)-net over F8 | [i] | ||
| 4 | Linear OOA(891, 131087, F8, 2, 17) (dual of [(131087, 2), 262083, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(891, 87391, F8, 3, 17) (dual of [(87391, 3), 262082, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(891, 32771, F8, 17, 17) (dual of [(32771, 17), 557016, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |