Information on Result #688036
Linear OA(871, 519, F8, 27) (dual of [519, 448, 28]-code), using construction X applied to Ce(26) ⊂ Ce(24) based on
- linear OA(870, 512, F8, 27) (dual of [512, 442, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(864, 512, F8, 25) (dual of [512, 448, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(871, 478, F8, 2, 27) (dual of [(478, 2), 885, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(871, 478, F8, 3, 27) (dual of [(478, 3), 1363, 28]-NRT-code) | [i] | ||
| 3 | Digital (44, 71, 478)-net over F8 | [i] | ||
| 4 | Linear OOA(871, 259, F8, 2, 27) (dual of [(259, 2), 447, 28]-NRT-code) | [i] | OOA Folding | |