Information on Result #638642
Linear OA(7106, 114, F7, 79) (dual of [114, 8, 80]-code), using concatenation of two codes based on
- linear OA(4915, 19, F49, 15) (dual of [19, 4, 16]-code or 19-arc in PG(14,49)), using
- discarding factors / shortening the dual code based on linear OA(4915, 49, F49, 15) (dual of [49, 34, 16]-code or 49-arc in PG(14,49)), using
- Reed–Solomon code RS(34,49) [i]
- discarding factors / shortening the dual code based on linear OA(4915, 49, F49, 15) (dual of [49, 34, 16]-code or 49-arc in PG(14,49)), using
- 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: Constructive and 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(7105, 113, F7, 78) (dual of [113, 8, 79]-code) | [i] | Truncation | |
| 2 | Linear OA(7103, 111, F7, 76) (dual of [111, 8, 77]-code) | [i] | ||
| 3 | Linear OA(7101, 109, F7, 74) (dual of [109, 8, 75]-code) | [i] | ||
| 4 | Linear OA(799, 107, F7, 72) (dual of [107, 8, 73]-code) | [i] | ||