Information on Result #1317813
Linear OA(3115, 141, F3, 54) (dual of [141, 26, 55]-code), using construction X with Varšamov bound based on
- linear OA(3107, 130, F3, 54) (dual of [130, 23, 55]-code), using
- discarding factors / shortening the dual code based on linear OA(3107, 133, F3, 54) (dual of [133, 26, 55]-code), using
- 1 times truncation [i] based on linear OA(3108, 134, F3, 55) (dual of [134, 26, 56]-code), using
- strength reduction [i] based on linear OA(3108, 134, F3, 56) (dual of [134, 26, 57]-code), using
- a “GraXX†code from Grassl’s database [i]
- strength reduction [i] based on linear OA(3108, 134, F3, 56) (dual of [134, 26, 57]-code), using
- 1 times truncation [i] based on linear OA(3108, 134, F3, 55) (dual of [134, 26, 56]-code), using
- discarding factors / shortening the dual code based on linear OA(3107, 133, F3, 54) (dual of [133, 26, 55]-code), using
- linear OA(3107, 133, F3, 49) (dual of [133, 26, 50]-code), using Gilbert–Varšamov bound and bm = 3107 > Vbs−1(k−1) = 1060 966856 197136 188906 921315 835145 965078 685911 128657 [i]
- linear OA(35, 8, F3, 4) (dual of [8, 3, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), 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
None.