Information on Result #638262
Linear OA(763, 81, F7, 37) (dual of [81, 18, 38]-code), using concatenation of two codes based on
- linear OA(4918, 27, F49, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,49)), using
- discarding factors / shortening the dual code based on linear OA(4918, 49, F49, 18) (dual of [49, 31, 19]-code or 49-arc in PG(17,49)), using
- Reed–Solomon code RS(31,49) [i]
- discarding factors / shortening the dual code based on linear OA(4918, 49, F49, 18) (dual of [49, 31, 19]-code or 49-arc in PG(17,49)), 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(762, 80, F7, 36) (dual of [80, 18, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(763, 40, F7, 2, 37) (dual of [(40, 2), 17, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(763, 27, F7, 3, 37) (dual of [(27, 3), 18, 38]-NRT-code) | [i] | ||