Information on Result #638282
Linear OA(766, 84, F7, 39) (dual of [84, 18, 40]-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(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.
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(765, 83, F7, 38) (dual of [83, 18, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(766, 42, F7, 2, 39) (dual of [(42, 2), 18, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(766, 28, F7, 3, 39) (dual of [(28, 3), 18, 40]-NRT-code) | [i] | ||