Information on Result #638346
Linear OA(785, 123, F7, 45) (dual of [123, 38, 46]-code), using concatenation of two codes based on
- linear OA(4922, 41, F49, 22) (dual of [41, 19, 23]-code or 41-arc in PG(21,49)), using
- discarding factors / shortening the dual code based on linear OA(4922, 49, F49, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,49)), using
- Reed–Solomon code RS(27,49) [i]
- discarding factors / shortening the dual code based on linear OA(4922, 49, F49, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,49)), using
- linear OA(71, 3, F7, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(784, 122, F7, 44) (dual of [122, 38, 45]-code) | [i] | Truncation | |
| 2 | Linear OOA(785, 61, F7, 2, 45) (dual of [(61, 2), 37, 46]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(785, 41, F7, 3, 45) (dual of [(41, 3), 38, 46]-NRT-code) | [i] | ||