Information on Result #686562
Linear OA(8134, 262187, F8, 24) (dual of [262187, 262053, 25]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(87, 43, F8, 5) (dual of [43, 36, 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(8135, 262188, F8, 24) (dual of [262188, 262053, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8136, 262189, F8, 24) (dual of [262189, 262053, 25]-code) | [i] | ||
| 3 | Linear OOA(8134, 262187, F8, 2, 24) (dual of [(262187, 2), 524240, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8134, 262187, F8, 3, 24) (dual of [(262187, 3), 786427, 25]-NRT-code) | [i] | ||
| 5 | Digital (110, 134, 262187)-net over F8 | [i] | ||
| 6 | Linear OOA(8134, 131093, F8, 2, 24) (dual of [(131093, 2), 262052, 25]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8134, 87395, F8, 3, 24) (dual of [(87395, 3), 262051, 25]-NRT-code) | [i] | ||