Information on Result #1321617
Linear OA(574, 101, F5, 41) (dual of [101, 27, 42]-code), using construction X with Varšamov bound based on
- linear OA(572, 98, F5, 41) (dual of [98, 26, 42]-code), using
- 5 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]
- 5 times truncation [i] based on linear OA(577, 103, F5, 46) (dual of [103, 26, 47]-code), using
- linear OA(572, 99, F5, 39) (dual of [99, 27, 40]-code), using Gilbert–Varšamov bound and bm = 572 > Vbs−1(k−1) = 193 583854 187619 753192 592678 217546 192294 109822 904985 [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(575, 103, F5, 41) (dual of [103, 28, 42]-code) | [i] | Construction X with Varšamov Bound | |