Information on Result #638546
Linear OA(762, 72, F7, 41) (dual of [72, 10, 42]-code), using concatenation of two codes based on
- linear OA(4913, 18, F49, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,49)), using
- discarding factors / shortening the dual code based on linear OA(4913, 49, F49, 13) (dual of [49, 36, 14]-code or 49-arc in PG(12,49)), using
- Reed–Solomon code RS(36,49) [i]
- discarding factors / shortening the dual code based on linear OA(4913, 49, F49, 13) (dual of [49, 36, 14]-code or 49-arc in PG(12,49)), 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 OOA(762, 36, F7, 2, 41) (dual of [(36, 2), 10, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(762, 24, F7, 3, 41) (dual of [(24, 3), 10, 42]-NRT-code) | [i] | ||