Information on Result #1321626
Linear OA(578, 106, F5, 43) (dual of [106, 28, 44]-code), using construction X with Varšamov bound based on
- linear OA(574, 100, F5, 43) (dual of [100, 26, 44]-code), using
- 3 times truncation [i] based on linear OA(577, 103, F5, 46) (dual of [103, 26, 47]-code), using
- a “GraX†code from Grassl’s database [i]
- 3 times truncation [i] based on linear OA(577, 103, F5, 46) (dual of [103, 26, 47]-code), using
- linear OA(574, 102, F5, 40) (dual of [102, 28, 41]-code), using Gilbert–Varšamov bound and bm = 574 > Vbs−1(k−1) = 5243 518153 217996 022826 096894 978075 802179 796846 152885 [i]
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), 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(579, 108, F5, 43) (dual of [108, 29, 44]-code) | [i] | Construction X with Varšamov Bound | |