Information on Result #638560
Linear OA(778, 92, F7, 50) (dual of [92, 14, 51]-code), using concatenation of two codes based on
- linear OA(4916, 23, F49, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,49)), using
- discarding factors / shortening the dual code based on linear OA(4916, 49, F49, 16) (dual of [49, 33, 17]-code or 49-arc in PG(15,49)), using
- Reed–Solomon code RS(33,49) [i]
- discarding factors / shortening the dual code based on linear OA(4916, 49, F49, 16) (dual of [49, 33, 17]-code or 49-arc in PG(15,49)), 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.
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(778, 92, F7, 49) (dual of [92, 14, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(777, 91, F7, 49) (dual of [91, 14, 50]-code) | [i] | Truncation | |
| 3 | Linear OA(776, 90, F7, 48) (dual of [90, 14, 49]-code) | [i] | ||
| 4 | Linear OA(775, 89, F7, 47) (dual of [89, 14, 48]-code) | [i] | ||
| 5 | Linear OOA(778, 46, F7, 2, 50) (dual of [(46, 2), 14, 51]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(778, 30, F7, 3, 50) (dual of [(30, 3), 12, 51]-NRT-code) | [i] | ||