Information on Result #686554
Linear OA(879, 262180, F8, 14) (dual of [262180, 262101, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(86, 36, F8, 4) (dual of [36, 30, 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(879, 262180, F8, 2, 14) (dual of [(262180, 2), 524281, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(879, 262180, F8, 3, 14) (dual of [(262180, 3), 786461, 15]-NRT-code) | [i] | ||
| 3 | Digital (65, 79, 262180)-net over F8 | [i] | ||
| 4 | Linear OOA(879, 131090, F8, 2, 14) (dual of [(131090, 2), 262101, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(879, 87393, F8, 3, 14) (dual of [(87393, 3), 262100, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(879, 37454, F8, 14, 14) (dual of [(37454, 14), 524277, 15]-NRT-code) | [i] | OA Folding and Stacking | |