Information on Result #1301271
Linear OA(535, 51, F5, 20) (dual of [51, 16, 21]-code), using construction X with Varšamov bound based on
- linear OA(533, 48, F5, 20) (dual of [48, 15, 21]-code), using
- linear OA(533, 49, F5, 18) (dual of [49, 16, 19]-code), using Gilbert–Varšamov bound and bm = 533 > Vbs−1(k−1) = 83920 677370 252806 029121 [i]
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(536, 53, F5, 20) (dual of [53, 17, 21]-code) | [i] | Construction X with Varšamov Bound | |