Information on Result #1302229
Linear OA(789, 99, F7, 63) (dual of [99, 10, 64]-code), using construction X with Varšamov bound based on
- linear OA(783, 91, F7, 63) (dual of [91, 8, 64]-code), using
- 5 times truncation [i] based on linear OA(788, 96, F7, 68) (dual of [96, 8, 69]-code), using
- linear OA(783, 93, F7, 58) (dual of [93, 10, 59]-code), using Gilbert–Varšamov bound and bm = 783 > Vbs−1(k−1) = 9081 275485 664660 641081 733027 601884 639581 589429 182549 516628 012836 432801 [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(790, 101, F7, 63) (dual of [101, 11, 64]-code) | [i] | Construction X with Varšamov Bound | |