Information on Result #1317806
Linear OA(3110, 134, F3, 53) (dual of [134, 24, 54]-code), using construction X with Varšamov bound based on
- linear OA(3106, 129, F3, 53) (dual of [129, 23, 54]-code), using
- discarding factors / shortening the dual code based on linear OA(3106, 132, F3, 53) (dual of [132, 26, 54]-code), using
- 2 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
- 2 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(3106, 132, F3, 53) (dual of [132, 26, 54]-code), using
- linear OA(3106, 130, F3, 49) (dual of [130, 24, 50]-code), using Gilbert–Varšamov bound and bm = 3106 > Vbs−1(k−1) = 273 615129 194585 075438 883726 886757 395487 958127 308291 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
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.