Information on Result #663570
Linear OA(811, 171, F8, 5) (dual of [171, 160, 6]-code), using (u, u−v, u+v+w)-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(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(811, 171, F8, 2, 5) (dual of [(171, 2), 331, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(811, 171, F8, 3, 5) (dual of [(171, 3), 502, 6]-NRT-code) | [i] | ||
| 3 | Digital (6, 11, 171)-net over F8 | [i] | ||
| 4 | Linear OOA(811, 85, F8, 2, 5) (dual of [(85, 2), 159, 6]-NRT-code) | [i] | OOA Folding | |