Information on Result #638575
Linear OA(794, 112, F7, 59) (dual of [112, 18, 60]-code), using concatenation of two codes based on
- linear OA(4919, 28, F49, 19) (dual of [28, 9, 20]-code or 28-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
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(793, 111, F7, 58) (dual of [111, 18, 59]-code) | [i] | Truncation | |
| 2 | Linear OA(792, 110, F7, 57) (dual of [110, 18, 58]-code) | [i] | ||
| 3 | Linear OA(791, 109, F7, 56) (dual of [109, 18, 57]-code) | [i] | ||
| 4 | Linear OA(789, 107, F7, 54) (dual of [107, 18, 55]-code) | [i] | ||
| 5 | Linear OOA(794, 56, F7, 2, 59) (dual of [(56, 2), 18, 60]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(794, 37, F7, 3, 59) (dual of [(37, 3), 17, 60]-NRT-code) | [i] | ||