Information on Result #1302183
Linear OA(781, 91, F7, 57) (dual of [91, 10, 58]-code), using construction X with Varšamov bound based on
- linear OA(775, 83, F7, 57) (dual of [83, 8, 58]-code), using
- 5 times truncation [i] based on linear OA(780, 88, F7, 62) (dual of [88, 8, 63]-code), using
- linear OA(775, 85, F7, 52) (dual of [85, 10, 53]-code), using Gilbert–Varšamov bound and bm = 775 > Vbs−1(k−1) = 1583 206773 232801 420350 273521 618051 969940 155431 377400 226340 195553 [i]
- linear OA(74, 6, F7, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), 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(782, 93, F7, 57) (dual of [93, 11, 58]-code) | [i] | Construction X with Varšamov Bound | |