Information on Result #664170
Linear OA(911, 219, F9, 5) (dual of [219, 208, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(91, 73, F9, 1) (dual of [73, 72, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(93, 73, F9, 2) (dual of [73, 70, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- linear OA(97, 73, F9, 5) (dual of [73, 66, 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(911, 219, F9, 2, 5) (dual of [(219, 2), 427, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(911, 219, F9, 3, 5) (dual of [(219, 3), 646, 6]-NRT-code) | [i] | ||
| 3 | Digital (6, 11, 219)-net over F9 | [i] | ||
| 4 | Linear OOA(911, 109, F9, 2, 5) (dual of [(109, 2), 207, 6]-NRT-code) | [i] | OOA Folding | |