Information on Result #2248273
Linear OA(789, 105, F7, 56) (dual of [105, 16, 57]-code), using 3 times truncation based on linear OA(792, 108, F7, 59) (dual of [108, 16, 60]-code), using
- concatenation of two codes [i] based on
- linear OA(4919, 27, F49, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,49)), using
- discarding factors / shortening the dual code based on linear OA(4919, 49, F49, 19) (dual of [49, 30, 20]-code or 49-arc in PG(18,49)), using
- Reed–Solomon code RS(30,49) [i]
- discarding factors / shortening the dual code based on linear OA(4919, 49, F49, 19) (dual of [49, 30, 20]-code or 49-arc in PG(18,49)), using
- linear OA(72, 4, F7, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- linear OA(4919, 27, F49, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,49)), 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 OOA(789, 35, F7, 3, 56) (dual of [(35, 3), 16, 57]-NRT-code) | [i] | OOA Folding | |