Information on Result #686522
Linear OA(8151, 262174, F8, 28) (dual of [262174, 262023, 29]-code), using construction X applied to Ce(27) ⊂ Ce(22) based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8151, 244513, F8, 2, 28) (dual of [(244513, 2), 488875, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8151, 244513, F8, 3, 28) (dual of [(244513, 3), 733388, 29]-NRT-code) | [i] | ||
| 3 | Digital (123, 151, 244513)-net over F8 | [i] | ||
| 4 | Linear OOA(8151, 131087, F8, 2, 28) (dual of [(131087, 2), 262023, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8151, 87391, F8, 3, 28) (dual of [(87391, 3), 262022, 29]-NRT-code) | [i] | ||