Information on Result #1297839
Linear OA(318, 110, F3, 6) (dual of [110, 92, 7]-code), using construction X with Varšamov bound based on
- linear OA(317, 108, F3, 6) (dual of [108, 91, 7]-code), using
- linear OA(317, 109, F3, 5) (dual of [109, 92, 6]-code), using Gilbert–Varšamov bound and bm = 317 > Vbs−1(k−1) = 87 402097 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(318, 110, F3, 2, 6) (dual of [(110, 2), 202, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(318, 110, F3, 3, 6) (dual of [(110, 3), 312, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(318, 110, F3, 4, 6) (dual of [(110, 4), 422, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(318, 110, F3, 5, 6) (dual of [(110, 5), 532, 7]-NRT-code) | [i] | ||