Information on Result #1301296
Linear OA(542, 58, F5, 24) (dual of [58, 16, 25]-code), using construction X with Varšamov bound based on
- linear OA(541, 56, F5, 24) (dual of [56, 15, 25]-code), using
- 6 times truncation [i] based on linear OA(547, 62, F5, 30) (dual of [62, 15, 31]-code), using
- linear OA(541, 57, F5, 23) (dual of [57, 16, 24]-code), using Gilbert–Varšamov bound and bm = 541 > Vbs−1(k−1) = 44612 841390 328869 621691 125025 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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 OA(543, 60, F5, 24) (dual of [60, 17, 25]-code) | [i] | Construction X with Varšamov Bound | |