Information on Result #663467
Linear OA(812, 228, F8, 5) (dual of [228, 216, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(81, 57, F8, 1) (dual of [57, 56, 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
- linear OA(81, 57, F8, 1) (dual of [57, 56, 2]-code) (see above)
- linear OA(83, 57, F8, 2) (dual of [57, 54, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- 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 OOA(812, 228, F8, 2, 5) (dual of [(228, 2), 444, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(812, 228, F8, 3, 5) (dual of [(228, 3), 672, 6]-NRT-code) | [i] | ||
| 3 | Digital (7, 12, 228)-net over F8 | [i] | ||
| 4 | Linear OOA(812, 114, F8, 2, 5) (dual of [(114, 2), 216, 6]-NRT-code) | [i] | OOA Folding | |