Information on Result #738430
Linear OA(317, 255, F3, 5) (dual of [255, 238, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(31, 85, F3, 1) (dual of [85, 84, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(35, 85, F3, 2) (dual of [85, 80, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- Hamming code H(5,3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- linear OA(311, 85, F3, 5) (dual of [85, 74, 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(317, 255, F3, 2, 5) (dual of [(255, 2), 493, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(317, 255, F3, 3, 5) (dual of [(255, 3), 748, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(317, 255, F3, 4, 5) (dual of [(255, 4), 1003, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(317, 127, F3, 2, 5) (dual of [(127, 2), 237, 6]-NRT-code) | [i] | OOA Folding | |