Information on Result #1321581
Linear OA(542, 84, F5, 20) (dual of [84, 42, 21]-code), using construction X with Varšamov bound based on
- linear OA(541, 82, F5, 20) (dual of [82, 41, 21]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(541, 83, F5, 19) (dual of [83, 42, 20]-code), using Gilbert–Varšamov bound and bm = 541 > Vbs−1(k−1) = 43185 787196 698550 566290 731225 [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, 86, F5, 20) (dual of [86, 43, 21]-code) | [i] | Construction X with Varšamov Bound | |