Information on Result #1298467
Linear OA(3120, 141, F3, 59) (dual of [141, 21, 60]-code), using construction X with Varšamov bound based on
- linear OA(3117, 137, F3, 59) (dual of [137, 20, 60]-code), using
- 3 times truncation [i] based on linear OA(3120, 140, F3, 62) (dual of [140, 20, 63]-code), using
- linear OA(3117, 138, F3, 56) (dual of [138, 21, 57]-code), using Gilbert–Varšamov bound and bm = 3117 > Vbs−1(k−1) = 44 442836 593550 033604 182977 908736 852366 343532 561953 094371 [i]
- linear OA(32, 3, F3, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,3)), using
- dual of repetition code with length 3 [i]
- Reed–Solomon code RS(1,3) [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3123, 146, F3, 59) (dual of [146, 23, 60]-code) | [i] | Construction X with Varšamov Bound | |