Information on Result #1302078
Linear OA(762, 72, F7, 43) (dual of [72, 10, 44]-code), using construction X with Varšamov bound based on
- linear OA(756, 64, F7, 43) (dual of [64, 8, 44]-code), using
- linear OA(756, 66, F7, 38) (dual of [66, 10, 39]-code), using Gilbert–Varšamov bound and bm = 756 > Vbs−1(k−1) = 153849 239853 628841 242167 040641 790977 948067 576327 [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(763, 74, F7, 43) (dual of [74, 11, 44]-code) | [i] | Construction X with Varšamov Bound | |