Information on Result #1317933
Linear OA(480, 103, F4, 42) (dual of [103, 23, 43]-code), using construction X with Varšamov bound based on
- linear OA(479, 101, F4, 42) (dual of [101, 22, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(479, 106, F4, 42) (dual of [106, 27, 43]-code), using
- strength reduction [i] based on linear OA(479, 106, F4, 43) (dual of [106, 27, 44]-code), using
- a “GraXX†code from Grassl’s database [i]
- strength reduction [i] based on linear OA(479, 106, F4, 43) (dual of [106, 27, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(479, 106, F4, 42) (dual of [106, 27, 43]-code), using
- linear OA(479, 102, F4, 41) (dual of [102, 23, 42]-code), using Gilbert–Varšamov bound and bm = 479 > Vbs−1(k−1) = 351490 098468 010689 953075 241010 148597 829427 225912 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(481, 105, F4, 42) (dual of [105, 24, 43]-code) | [i] | Construction X with Varšamov Bound | |