Information on Result #1323396
Linear OA(788, 108, F7, 57) (dual of [108, 20, 58]-code), using construction X with Varšamov bound based on
- linear OA(782, 100, F7, 57) (dual of [100, 18, 58]-code), using
- linear OA(782, 102, F7, 52) (dual of [102, 20, 53]-code), using Gilbert–Varšamov bound and bm = 782 > Vbs−1(k−1) = 1161 044544 228642 472897 348852 648126 337410 423938 807103 558832 212699 166887 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(789, 110, F7, 57) (dual of [110, 21, 58]-code) | [i] | Construction X with Varšamov Bound | |