Information on Result #638525
Linear OA(7109, 129, F7, 67) (dual of [129, 20, 68]-code), using concatenation of two codes based on
- linear OA(4933, 43, F49, 33) (dual of [43, 10, 34]-code or 43-arc in PG(32,49)), using
- discarding factors / shortening the dual code based on linear OA(4933, 49, F49, 33) (dual of [49, 16, 34]-code or 49-arc in PG(32,49)), using
- Reed–Solomon code RS(16,49) [i]
- discarding factors / shortening the dual code based on linear OA(4933, 49, F49, 33) (dual of [49, 16, 34]-code or 49-arc in PG(32,49)), 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 OOA(7109, 43, F7, 3, 67) (dual of [(43, 3), 20, 68]-NRT-code) | [i] | OOA Folding | |