Information on Result #638189
Linear OA(754, 78, F7, 29) (dual of [78, 24, 30]-code), using concatenation of two codes based on
- linear OA(4914, 26, F49, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,49)), using
- discarding factors / shortening the dual code based on linear OA(4914, 49, F49, 14) (dual of [49, 35, 15]-code or 49-arc in PG(13,49)), using
- Reed–Solomon code RS(35,49) [i]
- discarding factors / shortening the dual code based on linear OA(4914, 49, F49, 14) (dual of [49, 35, 15]-code or 49-arc in PG(13,49)), 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(753, 77, F7, 28) (dual of [77, 24, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(754, 39, F7, 2, 29) (dual of [(39, 2), 24, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(754, 26, F7, 3, 29) (dual of [(26, 3), 24, 30]-NRT-code) | [i] | ||